Sure. Just use separate cabling for each.
It can be done, how easily it can be done depends on your current setup. I have DTV and my internet comes from the cable company. All the cable outlets in my house run to a central location (my garage, right beside my fuse box, a pretty common setup in fairly new construction), so it was just a matter of keeping the cable to the modem hooked up to Comcast while putting the rest of the cables into the multi-switch. My internet cable was run with a white cable and TV was black so this was easy for me. So the question becomes if all your cables run to one central location? If so, what you want to do will be easy. If not, you can still do it but it may take some work.
If you already have a landline phone, you might want to consider DSL. Then you won't need to try and share the existing cable. When I went to D*, I dropped cable internet. Cable was rated higher then my DSL speed, but the DSL is actaully faster. I ran several speed tests while I had both, at peak usage time and off peak. Cable internet speed goes down as more people in your neighborhood use it. With DSL, you are on your own seperate line, so the speed remains constant, no matter how many of your neighbors are using DSL.I would like to keep my internet access via cable. And I'd like to get DirecTV. Is it possible for one room to get DirecTV from the wall and internet cable in another room?
Thanks for the help.