first of all, I'm not sure if yur talkin about moving the clawed frog or the loach.
So heres two replies in one:
What kind of loach is it?
If its a dojo (weather loach) it will be fine in unheated water, but will also be fine in heated water up to 78 F or so.
"If" its the clawed frog, then you should have heated water 70-75 F.
Yes, you can use filtration, some say its no good for the frog, its as though a "jackhammer" is going in the tank to the frog because of its sensitivity to moving water and currents etc etc.
I myself, as I'm sure many people do, use a filter.
I used an aquaclear 150 and even use an airstone for airation (my goldfish need that), and have had no reason to think its bothering him.
He actually sits on the bubbles for extended amounts of time.
It looks as though he's giving himself a message.