I gave you a couple examples earlier; here's more. You easily could have found this information yourself.
Point is, IT HAPPENS, even multiple times with the same guy. There is ample precedent involving 13 teams and 11 modern-era quarterbacks in the NFL Hall of Fame.
49ers -- Joe Montana, Y.A. Tittle
Baltimore Colts -- Johnny Unitas, Y.A. Tittle, George Blanda
Bears -- George Blanda
Oilers -- George Blanda, Warren Moon
Vikings -- Fran Tarkenton, Warren Moon
Giants -- Fran Tarkenton
Lions -- Bobby Layne
Rams -- Norm Van Brocklin
Seahawks -- Warren Moon
Eagles -- Sonny Jurgensen
Steelers -- Len Dawson
Browns -- Len Dawson
Tampa Bay -- Steve Young