I don't think so, no. Bąk played in his beloved Motor Lublin up to early 90s and they are shit (thankfully). You couln't see him playing for Motor in european tournaments of some sorts for a start. Also, he had not been capped back then yet. He got his debut in 1993 and we played you that year but I can't recall if he played. He faced England three times in late 90s/early 2000's, though.
He got 13 games in UCL proper I read so you could also notice him there, playing for Lens and Lyon. A good player overall I must say, wasn't United quality but to get 200 apps for strong Lens and Lyon sides combined is not a bad feat. 96 apps for Poland as well.
OK, apart from placing him in the wrong decade, at/near the wrong club/s, and offering the wrong pronunciation of his name to begin with , that went quite well for me,
. I would also have to confess to not having heard of (beloved / shit thankfully,
) Motor Lublin so it can't have been them I was mis-remembering, either.
But yes, I tentatively think that 96 caps was a pretty decent effort by the man.