jbrbbt

Chosen answer: No. He's given his name, that's all. Nothing there that might lead to a paradox. If he's gone into detail about his time travelling, that might cause an issue or two, but simply stating his name does nothing.

Tailkinker

Answer: No more so than Sisko posing for a photo in the 21st century while pretending to be Gabriel Bell.

Answer: His last name is something Kirk will forget, since he was on temporary assignment and essentially passing through.