yes, you will be fine. Find out the max GVW on the trailer though. Then what rear gears are in your truck, and you can see what your truck is rated for. But for the most part, you will be fine. I tow a 23' camper with my truck and its weaksauce to yours.
get a weight distributing hitch for your truck also. Like this
one
Do you have a brake controller? If not, one like
this is fine