YES!! There are two different patterns for these (one for guys, one for women) in Last Minute Knitted gifts-I have made both several times and they couldn't be easier! I highly recommend them as really quick gifts, and very appreciated too!
Plus they're (almost) instant gratification My patterns tell you to knit in the round about 4 or five inches, then back and forth to make the thumbhole, then bring the hole together again and knit in the round another inch and a half or so and bind off. Done! And it couldn't be easier.
OOPS, I just noticed you said no knitting in the round (sorry!) But you could easily just make them flat and sew them up too, of course!