Nope, your ma and pa need to be cousins at least and preferably brother and sister.

pre-requisite for banjo playing

Sorry, they were a Notts/Lancs combination, banjo now in bin, now where is that accordion, presume I need a kilt to be able to play that, or handkerchief on head.
My late old man used to play the trombone, apparently he played the last concert at the Crystal Palace before it burnt down, but he was always carefull where he left his pipe.