If I trade, say, Pikachu, for my friend's Pikachu.
Will the chance of getting a Lucky Pokemon increase when trading two of the same Pokemon than two different Pokemon?
No. Trading the same Pokemon does not affect the chance.
However, if one of the Pokemon was obtained more than a year ago, then the chance of a Lucky Pokemon increases as per this previous answer.
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1While there is no hard statistical evidence and probably just extremely lucky RNG, I’ve actually more luck with getting lucky Pokémon with same-species trade. I got six lucky Snorlaxes during the “Snoozing with Snorlax” event last year; two shiny Blazikens after community day; back-to-back Alolan Geodudes; and a few others. Again, probably just extremely lucky RNG, but I’m curious if the OPs question has some merit – Wondercricket Mar 30 at 11:39
