Has any NFL team started 0-4 and won the Super Bowl?

Through Super Bowl XLV, 0 ... the worst a team has been after 5 regular season games is 2-3.

Two teams that started 2-3 won the Super Bowl ... the 2001 New England Patriots that won Super Bowl XXXVI and the 1980 Oakland Raiders that won Super Bowl XV.

The 1985 New England Patriots that lost Super Bowl XX also started 2-3.