No.
Favre's and Montana's careers overlapped three seasons, 1992-1994. Favre was with the Packers and Montana was with the 49ers in 1992 and the Chiefs in 1993 and 1994.
The Packers and Chiefs did meet in a Monday Night game on November 8, 1993 but Montana did not play for the Chiefs that night; Dave Krieg was the Chiefs QB.
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