No, Abra is not capable of evolving during trading, it only evolves once it reaches Level 16 and it will evolve into Kadabra however Kadabra is the one that evolves while being traded but the location for its trade evolution can be done in any Pokémon Center.
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Abra evolves at level 16 into Kadabra, then into Alakazam when traded.
Abra always evolves at Lvl 16. Kadabra has to be traded in order to evolve into Alakazam
Alakazam doesn't evolve he is the final evolution of abra.
Alakazam is last evolvsion of Abra. : )
If you have an Abra, the best hypnosis Pokemon is alakazam. So catch an Abra, evole it to a kadabra, the evolve it to an alakazam to have the best hypnosis Pokemon