All mechanical concepts transfer, yes. Software, only processes, etc as the microcontrollers, interfaces, program languages can be different depending on what your FRC programming methods are.
take a look at all of the offerings, here:
http://www.vexrobotics.com/education/curriculum
and if you're still unclear, the teacher's handbook that goes with the classroom competition is a GREAT starter for all pertinent mechanical concepts:
http://www.vexrobotics.com/education.../275-1419.html