Oh, sure. I’ve had many Springs moving plants in and out based upon the temps. We had SNOW last mid-April. Ugh!
You could just cover up the lettuce with a towel or blanket overnight. Keeping to cold air off the leaf mass is the goal.
But I didn't cover it with plastic. It's for keeping out critters and if there's a frost or freeze warning, I throw some old sheets or curtains over it.
Right now it's over my lettuce.
The nice thing about the roll of turkey wire is that since it comes in rolls, it likes to remain curved, so makes a nice semi-circular shape. Mine aren't as tall as that though. I also put chicken wire across the ends for discouraging critters.
The life of a gardener.
Some of my seed starting flats travel with me if we're going to be gone for more than overnight.