synphul :
It looks like it may not. Apevia doesn't go to the trouble to list the cpu cooler height allowed by the case so it makes it more difficult. A user here said they tried and no luck even with the 200mm side fan removed.
http://www.tomshardware.com/answers/id-2447240/cooler-master-hyper-212-evo-big-apevia-trooper-case.html
The 212 evo is a bit tall for its size but pretty normal for larger air coolers. The x-trooper is a bit narrow by today's case standards and the side fan takes up more space inside. You might have better luck with the cryorig h7, it's 145mm tall instead of 160mm tall (a little over 1/2" shorter). No confirmation that I know of for that case and you may still have to remove the side panel fan to give it room. It's a bit better of a cooler than the 212 evo despite being smaller.
I agree with the Cryorig H7, but the Shadow Rock LP might be a better choice for you.
Runs similar temps and is very quiet while being a low profile cooler, hence the LP in the name.
Worst case scenario though, if you can't return the 212 Evo, a long used method has been to side mount the top fan in order to allow for better case clearance, although the cooling may be a few degrees worse, which is kind of minimal in the grand scheme of things.