yes, the whole swap costed me around $6000 so it is possible, just need to know what to use.
Here's a rough list

TSX motor $1900 shipped New
Ep3 alternator and starter $120
Ep3 tranny $500 or type s tranny 6 speed 900
rsx type s engine harness $150
rsx type s manifold $100
rsx type s TB $200
rsx type s axles $100
B series axles $80
Fuel crap $250
misc crap $200 (bolts, betls, gaskets, fluids etc..)
Mounts $499
Wiring -Free _Learn how to read or $350
Honda K pro $800
Header $1000
shifter+ cables $150
--------------------------------
around $6000-$7000

The reason why the motors are cheap is because I located the main source and cut a deal on 30 of them.