Yes. I'm not sure which events you'll need or exactly how to use them, but it is possible.After you figure out how to make it not respawn, add the event OnMinigameReset > Self > RespawnVehicle, for the second part.
I'm not sure if there are any events that check for a reset minigame.
OnVehicleDeath > Self > SetVehicle > NoneOnMinigameReset > Self > SetVehicle > Something
Uhmm... in the minigame menu, just change the vehicle respawn time to 0. That way it will never respawn once blown up. It will only respawn when the minigame resets...