Very possible. I do this all the time for movies (but indoors). You just need to run the video output from your cable box/converter box to your projector. So long as your projector and video source have matching ports, there's no problem. You will want to run audio separately.
What is the video source?
A) Cable/Satellite Box
B) Cable/Satellite outlet from the wall
C) Over-The-Air Digital Antenna
If A, please list all outputs
What inputs does your Epson projector have?
A) HDMI
B) DVI
C) VGA
D) Component
E) Composite
F) S-Video
G) Coaxial Cable
Please list all inputs.
-Wolf sends