Smith was 4-of-12 passing with 27 yards and an interception in the first half, which saw the Chargers build a 21-0 lead.
Through the Jets first four games, Smith threw for 922 yards, four touchdowns and five interceptions. Last Sunday, the second-year QB cursed at a fan while walking off the field after falling to the Detroit Lions.
At times during that home loss, Jets fans chanted for Vick to enter the game, but head coach Rex Ryan said afterwards that he is confident in Smith and won't replace him.
Prior to Sunday, Vick had just one pass attempt on the season. Last season with Philadelphia, the veteran threw for 1,215 yards, five touchdowns and three interceptions in seven games.
New York signed Vick in March after releasing QB Mark Sanchez.
Entering Week 5, the Jets were 1-3 on the season.
- Molly Geary