If someone has full identical matches of dna with someone else, is it a match with themself or a parent and child match?

I have an 3,384 cM match with someone else on FamilyTreeDNA and it says parent/child match.

I looked at the match on gedmatch chromosome view and it is full identical match on all the chromosomes.

So, is it a match with myself or is it a parent and child match?
Update: Am I a match to myself or is it a parent and child match? Is it possible for a parent and child match to have full identical match on all chromosomes?
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