Its possible with an enclosure within the closet. A sealed box inside the closet could have intakes on the bottom, and exhaust out the top of the box.
thats what i did with my polyfilm. I made an enclosement with poly-film in the closet and exhausted through the top and intakes at the bottom. i can keep my closet doors open allowing the a/c'ed air through the active intakes. it works beautifully. my temps range from 70-78.