Here's my attempt at an answer:
Through an omnipotent being, all things are possible. Can such beings exist?
It seems as if what you are trying to ask is: "If something is omnipotent, then all things can possibly exist, is this possible"? This depends on whether contradictions can be referred to as "things", as some would argue that contradictions refer to "no-thing". A simple illustration of this would be the following:
If all things can possibly exist, all statements of the form "x can exist" are true, in which x is a thing.
- [A horse with wings] can exist
- [A square circle] can exist
In (1) the subject of the sentence is [a horse with wings], but what is that? In order for this sentence to have meaning, its subject must be referring to something, be it a concept, an actual physical object, or some other entity. In case (1), I am essentially saying that the concept of a horse with wings can be embodied in material reality, hence the concept of a horse being the referent in this situation.
Now, in the case of (2), the subject of this sentence cannot be said to be referring to anything. The term [A square circle] in the sentence cannot be referring to an actual physical object, as such an object does not actually exist (just like all contradictions), nor can it be referring to the concept of [A square circle] under the ordinary understanding of "concept", as a concept is something that is conceived or imagined within one's mind, yet [A square circle] cannot be imagined or conceived within one's mind (just like all contradictions).
Essentially, what I am pointing out is that contradictions are vacuous subjects (subjects with no referents), and vacuous subjects cannot be classified as "things", as only something with a referent can be classified as a "thing"; a thing is its referent.
Now, "contradiction" is synonymous with logical impossibility (or just impossibility, for the sake of brevity), meaning that if something is impossible, then it is ultimately contradictory and vice versa. So, assuming the traditional classification of impossibility, possibility, and necessity (which can be looked at as a sub-category of possibility), we can state that by removing logically impossible "things" from the scope of things, the term 'thing' would only be referring to possible things (recall that if a thing is necessary, then it is possible).
Therefore, if we are to look at your question a second time through this lens, we can rephrase your question as:
"Through an omnipotent being, all possibilities (or possible things) are possible. Can such beings exist?"
In which the answer to your question would be yes (assuming that that is the only thing precluding the possibility of an omnipotent being existing).
- Let me know if you notice any glaring inaccuracies or mistakes, Thanks