Yes.
Yes, the Buffalo Bills have lost four Super Bowls in which Jim Kelly was the quarterback.
The Bills lost four consecutive Super Bowls from 1990-93.
The Buffalo Bills in Super Bowls XXV through XXVIII.
The Minnesota Vikings and the Buffalo Bills are winless in four Super Bowl appearances. The Bills lost four Super Bowls in a row from 1991 to 1994.
Jim Kelly
Buffalo Bills
none
Buffalo Bills
Marv Levy of the Buffalo Bills (Super Bowls XXV,XXVI, XXVII, and XXVIII).
Thurman Thomas played in four Super Bowls for the Buffalo Bills .... SBs XXV-XXVIII.
The Minnesota Vikings, Denver Broncos and Buffalo Bills all have four losses.
Jim Kelley started four consecutive Super Bowls Game for the Bills, winning none.