It is possible if all you need to do is vary the analog signal, however, the arduino outputs 0-5V not 0-10V, SO you will need a amplifying circuit. Actually a simple 0-10V OP amp should work, or if you want to control multiple ones in the future, then a H-bridge will work too.
If it is really cold there, then you may want to get a insulated box to put all this in, if you haven't already.