There might be several levels to the question:
1. What constitutes proof to others, including God, that we ourselves are anything more than a bio-bot, a cascade of chemical reactions untwisted from DNA and environmental reaction?
2. What constitutes proof that others, or other things are anything more than a bio-bot, or cascaded physical reaction?
3. What constitutes proof that there is a higher power that is not bounded to a bio moving thing, sort of a spirit that is free of the mass?
4. What constitutes proof that a higher power is the creator of the fabric and physical building blocks of this universe?
5. What constitutes proof that it is wise, or in the interest of anyone, including a higher power, that we work towards associating with and interacting with a higher power?
The answer of whether or not a higher, non-human and non-physical power can be proved, is yes. Yes, I know the common reaction to that statement, and no, I do not seek that reaction. No, there is no evidence or proof in the statement itself, and neither should you merely believe it. A spirit is just not a proof in the physical experimental sense where we conduct an experiment with a mechanical thing, poke and probe, or watch in silence, and receive a repeatable mechanical response. That would be the method of proving that the bio-bots we are with are indeed really nothing more than the mechanical bio-bots that they are. Yes it is indeed the human animal if we get the result that we expected, right? The word 'proof' is twisted: the word itself is a form of a proof, because there is no bio-bot or physical thing can ever prove anything to you. Evidence and bio-bots do not prove or disprove... consider that of anyone that says they can not prove or disprove. So, turn it against yourself: what proves that you are not a cascade of well evolved knee-jerk reactions and chemical emotions? Surely you can admit: Some of what people do is verifiably just knee-jerk reaction and well evolved, chemically controlled bio-bot behavior. What would make a bio-bot special, to demonstrate that it really is something more than just a bio-bot, like some kind of a tool or vehicle of a higher level entity? We know what our own knee-jerk reaction is like: is that really us, out of control? If not, why are we different and how can we each prove that to each other? What would constitute proof to God, or to another, that we really are in fact something more than a bio-bot, with the good stuff? Find the answer to that, and we will have a different viewpoint on words like 'prove' and 'exist'.
Do we really wish a higher power to be like these other pesky bio-bots that will make their presence known to us, requiring us to obey them, whether we like them or not? It seems there is a higher power that we can ignore, and succeed in our ignorance of. Take the blue pill. We can even look in all of the proverbial windows, and we won't see anyone, but there are doors, and if we don't at least knock on that door... the door does not open. If the door is opened, will the door ever be closed again? Perhaps it is a scary future like getting hitched: are we really looking to have the door opened, or are we just wanting a peek into the window to see if there is someone behind that curtain? Whose to say that a higher power thinks and treats us with any more respect than a fly?
So, my attempt to answer the question, a change in perspective of the concept of a proof and existence are required, and this change requires exploration and introspection over a time span, which is not an independent solo exercise. How do we prove ourselves to each other? If we are wanting to just look for a statue behind the curtain, or have someone hand us a fragment of a statue, we see nothing special. In our consideration of our game plan, perhaps if we substitute our consideration for another physical bio-thing, like an Alien from another home world. How are we going to prove that another Alien exists? Do we wait for their signal, or do we send our own? Do we make them take the journey, or do we make it ourselves? If we find other moving bio-bots, how are we going to prove that they are not merely bio-bots, but in fact have sentient and benevolent beings among them? Will they see us as cattle, or wild beasts? Consider the opposite: How do we prove that we are sentient and benevolent beings? According to the news, some of us are apparently not. Can we prove that a higher power Alien exists, that is not human and that has a home somewhere else? Well, I say the answer is yes. We can prove that a higher power Alien exists. I know the common reaction to that statement, and no... no really, I do not seek a knee jerk reaction to it. If it makes anyone feel any better, they are welcome to take the blue pill and consider this as just being what it truly is... the ramblings of noise.