Yes of course!
Forgot about high Nitrates, and of course illness.
But we probably need to clarify "low temps" for anyone new to the hobby.
Winter months can see water temps fall below the shrimp's preferred temp range. It might not be detrimental to their health but it does slow their metabolism down. The remedy for low temps isn't to just give them high temps either, it needs to be within their ideal preferred range for that specific shrimp, eg Neo Caridina or Caridina or Sulawesi.
I have known some people to have shrimp (cherries) survive our Australian winter out in ponds. So they can tolerate fairly low temps for an extended period.
I find the wrong water parameters for the type of shrimp to be a big factor for lethargic shrimp. It's usually the first sign that something is not right.
Any measurable amount of Ammonia, can also cause this behaviour.
Moulting is also a big factor in shrimps being inactive. Right before and right after the moult they hide and usually don't move. The moulting process is very strenuous on the shrimp, and I find protein rich foods (eg bloodworms) helps a ton.