It is not impossible, but the only analogy is with the perception of time, vis: just like with an infinitely so called regressed hall of mirrors, the images become smaller and smaller,m,whereupon a critical point in perception is reached, (spatial reduction)-where, the
Image can not be distinguished from the prior image.
Conceivably, it becomes a test of paradox, of infinity as a possibility, and it’s verification.
Conception of what infinity is, is what is at stake here, and it entails a verified state of boundless-ness
Which in fact, can never be verified.
As the regression progresses, boundaries become less and less verifiable between them, and beyond the limit they are not. Therefore, there is a maximum verifiable boundary behind which, no human intelligence, nor artificial for that matter, can attest to infinite regression.
The relativistic question of Einstein’s famous question becomes relevant here, whether anything exists, if there was no one to perceive it. It begs on the state of consciousness.
Infinity and consciousness seem to be the only co-existing guide posts, and therefore the relational attributes between them may become boundaries themselves.
Perhpas their relational paradox is akin to Zeno’s, of infinite divisibility. Consciousness can regress to infinity, but what of where even the law of limitation
Devolves the differentiation between the concept of an infinite consciousness, qua intelligence.
Conceivably, only an infinite intelligence could differentiate itself from IT’s Self, it not fall into the black hole,(figuratively speaking) of a lack of self differentiation.
The calculus of reason as Leibnitz described it, follows this pattern , and the foundation is, two perfect spheres.
The fact that Leibnitz solved the riddle of this distinction, leads to the implication, that there is an infinitely intelligent entity, which can support It’s Self, which is in a state, where the question of the OP, becomes at a certain point redundant.
The point being is, that the two spheres are co-dependent, and never totally mutually excluded from each other. Infinity and boundaries at this point become pure categories of logical necessity.