Can they turn me in for a DWI if there was no cop involved?

At a bar, stopped while leaving, waited at the door. Tired of waiting went outside to leave chased me down said call a cab or friend. Said can't drive liability to the bar. Twisted my ankle tried to explain that while I was inside, never wear heels. Anyway stopped me outside. They had me call a friends. Told me to have a seat, waited outside they gave me a bottle of water. Tired of waiting and I left. They make have my plate number to my car.They have my credit card info cause I had a tab. Have my I'd and credit card. Can they turn me in for a DWI since no cop stopped or was around? I just got tired of sitting there frustrated. But they did just tell me sit outside and wait. In Texas. Should I be worried? No cops involves no traffic stop. Nothing