What happened when your 1992 Accord was hit on the front driver side to cause none of the turn signals to work while hazard and driving lights work power is shown to all lights and it is not a fuse?

It sounds like the ground for the parking/turn signal circuit is bad on the damaged side. You mentioned sufficient power to all lights, I assume this applies to the parking/turn signals too. If this is not the case check the main fuse box for disconnected, pulled-out connections. Hope this helps,