Could it being cold cause leafs to droop?

It got down to 58*-60* last night in my growroom.No they were not soaking wet or bone dry.Just moist.Could the cold cause them to droop a lil?
Thanx
Edit:I am using good purified water ph6.Soil is good also.I had 2 tubs of damprid.Thought maybe the added damprid took out to much humidity.So I took it out a min ago.Temp is staying around 70*-75*.

I dont think that is cold enough to cause any problems. Of course it does vary slightly by strain. I raised one outside in winter in florida where it was usually about 45. Didnt make it droop just grew a little slow.