Question:

As we know God is infinite and eternal. Could there be several infinite and eternal Gods? Many thanks

Answer:

In principle, if we knew nothing about reality, and were simply asking the most basic question about how to explain the universe, I suppose if one were starting from scratch, with no assumptions, one could not rule out this possibility a priori.

However, if the God of the Bible is in fact real (and there is a vast an seemingly unending range of evidence to support this conclusion), then there cannot  be other omnipotent, omnipresent, infinite and eternal gods.   The reason I say this is that the God of the Bible makes it crystal clear the he is the ONLY God (Exodus 8:10, Deuteronomy 4:35, 39, Deuteronomy 32:39, 2 Samuel 7:22, 1 Kings 8:20, Mark 12:29 and many more).  The fact that the Bible has a God who claims that he is the only God does not, in and of itself prove that this claim is true.  However, given the overwhelming evidence for the inspiration of the Bible, to propose the existence of another God would be to propose that the Bible is not in fact inspired.  But it is!  So, I say that, from what I know the answer is:

No, there cannot be several infinite and eternal Gods (unless the biblical God is not real, but he is).

John Oakes