Do the Angels on "Touched by an Angel" have wings ? Heck, where is it written that Angels have ANY wings ?? Or that all do ? How DO you tell a Cherubim from a Seraphim ?
Never watched Touch by an Angel... it comes on the same network as Dan Rather. But to answer your question , in my religious upbringing, Angels do have wings. If the ones on Touched by an Angel don't have wings, its not my fault. Maybe its a plot by CBS to degrade Angels. Or maybe they just have something against Della Reese.....
But seriously ...
Hebrews 13 1 Let brotherly love continue. 2 Be not forgetful to entertain strangers: for thereby some have entertained angels unawares. 3 Remember them that are in bonds, as bound with them; and them which suffer adversity, as being yourselves also in the body.
Check with the Bible, it gives you the answer.