With enough $ anything is possible.
The first question would be is what do you have now? Are you trying to add on to an existing awning
If you are starting from scratch, this thread gives a lot of info on the various awnings:
advice re: awnings for 13' Trillium
Pay particular attention to the differences that Randy Bishop points out. The Carefree, Dometic and Shademaker all have add on options to for add-a-rooms or screen rooms. Note some are screens and some have roll down flaps to enclose for a "room". Carefree has both by different names.
Dave Storey had one listed earlier this year in the parts classifieds here, not sure if he sold it or not. It pays to hunt down the ads elsewhere for awnings and screen rooms for pop up trailers as they are the same thing. The rooms are expensive.