D.B.
Yes. It's normal. It's horrible. They usually give up the nap 6 months before they are physically able to manage it. It stinks.
Try "Quiet Time" in the room, no forcing of or discussion of the "nap." There are also some inexpensive foam "easy chairs" in kids sizes that unfold into more of a chaise lounge. One of my stepdaughters had them for both kids. Great for TV time. At the designated nap time, make it "Special Chair Time" and the kids could unfold the chair, snuggle in it with an afghan and a book or 2, and have quiet time - no requirement to sleep. 9 times out of 10, they napped.