Yes, the electrical plug on an American PS1 will not fit into most (if not all) various electrical outlets in Europe. Plus, the voltage of the outlet is different from that of a standard American outlet as well. If you were to follow this approach, you would need to get an adapter so you could plug your PS1 into the socket and it would also convert the voltage to the correct amount.

As you're writing this on a computer, have you considered playing your copy of Tactics on an emulator on your computer?