At typical household distances (unless you live in a palace) the pattern size will be quite small no matter what barrel length/choke you use. Shortening the barrel will make the gun a bit handier indoors but will not really affect pattern size at across-the-room distance.
If you decide the shorten it, remember to measure twice and cut once to be sure you comply with all applicable laws. Federal minimum is 18" from bolt face to muzzle measured inside the bore, and careful people allow at least a quarter inch more. Remember that there may be state or local laws that apply to you also, be safe not sorry.
You didn't mention what make/model pump you have, could be that a shorter barrel is easily available for it. You should test the patterning of the barrel you have, could be it does really well and you'd be butchering a treasure without knowing it.
lpl/nc