Very possible.
In fact, it's extremely common.
The only real issue is to check that the exhaust you are using will physically fit in the space you need it to.
The rest is just a matter of cutting off the pipes and having a shop (or yourself) weld on new ones to suit whatever car you are fitting it to.
My girlfriend has had a Mugen Twin loop fitted to her NA6 for about 8 years now.
http://site.icbmotorsport.com/Mugen/Use ... Only_1.jpgAll they did was cut off the hangers, the tip, and the pipe to the right (inlet pipe)
A right angle was welded on the inlet to line up with the OEM midpipe, and another welded on the exit to line up with the hole in the MX5 bumper.
Hangers were then welded on to line up with the MX5 ones on the car.
She bought it with most of the work done already, so it was cheap.
Bear in mind an exhaust shop cost will depend on just how much they need to do (and how much pipe they need to supply/bend)
if it can be done with off the shelf bends and minimal extra stuff, then it could be as low as maybe $100, if they need to do a lot, the price will reflect.