Can I just let the portable air conditioner run without a vent?
Portable air conditioners are designed to operate with a vent. If you do not vent the hot air that the machine is pumping out somewhere (other than the same room that you are trying to cool), the portable air conditioner will not be able to cool very effectively at all. If one of these machines is run in a room without a vent, the best-case scenario would be that the area immediately in front of the machine would get cooled, but the area behind the machine would get very hot, so the room would not really get cool at all.