Historically, no. For fun, yes! You could pretty much use all of the frigates painted up as pirates to play against them selves. You could even use the current SoLs as the huge treasure ships most pirates dreamed about catching. Cutting the number of guns down for them might be in order, but could still be done for fun.

The pirates most of us love from the movies (and not just latest ones) have less to do with history and more to do with being fun anyways.