No. You only have ONE Vigor track. If that is down to 0, then that’s it.
Example:
Character with Brawn 9 and Resistance 2 = 11 Vigor. Armor soak of 1 in all locations.
First hit for 4 damage, -1 due to Armor soak = 3 damage. That gets deducted from the Vigor track, which is now 11 - 3 = 8.
No wounds, Vigor currently at 8.
Second hit for 7 damage, -1 due to Armor soak = 6 damage. That gets deducted from the current Vigor track of 8: 8 - 6 = 2. AND: as this was 5 or more damage from a single hit, the character gets 1 Wound.
1 Wound, Vigor currently at 2.
Third hit for 5 damage, -1 due to Armor soak = 4 damage. Deducting that from the current Vigor of 2: 2 - 4 = 0 (you cannot have negative Vigor, if the Vigor track drops to 0, then it stays at 0). AND: as this is damage that caused your Vigor track to drop to 0, the character gets another Wound.
2 Wounds, Vigor currently at 0.
Fourth hit for 6 damage, -1 due to Armor soak = 5 damage. Vigor is already at 0, so it cannot sink lower than that. AND: for receiving at least 1 point of damage, while your Vigor track is at 0 the character gets 1 Wound, AND for receiving 5 or more damage in a single hit, the character gets another Wound.
4 Wounds, Vigor currently at 0.
The character is nearly incapacitated and can only perform an Action or Reaction by paying a Fortune point.