You certainly could put the turbo on an Arctic Cat 1100, but you won't get the power that the boosted Apex had.
Arctic Cat had high hopes for the 1100 four stroke, but it isn't producing the power that they had hoped for when boosted. It can still produce a respectable amount of power (I've been hearing 250 hp can be expected from a boosted Arctic Cat 1100. I'm sure you could squeeze more out if you wanted, but I expect the engine will grenade if you push it too far.), but not what the three and four cylinder boosted four strokes will.
I have no evidence to offer other than observation and what I've read, but it seems that the more cylinders you have, the more horsepower you will get per cubic centimeter.
For example, a four cylinder Yamaha Apex engine is 998 cc and produces about 160 hp stock. A three cylinder Yamaha Nytro engine is 1049 cc and produces about 130 hp stock, even though it has 51 cc more than the Apex engine. This holds true when boosted as well.
I don't know the physics behind it, but when you throw more cylinders into the equation, you seem to get more horsepower. This was apparent when the two stroke triples hit the scene. A lot of riders still covet their two stroke triples and will hang on to them until they can no longer be rebuilt.
I have a friend that spent big bucks on an 2013 1100T. He was really discouraged when he climbed on another friends 2006 supercharged Apex with a 310 kit. The Apex was used and cost my friend $7,500. I have no idea what the 1100T cost, but I would guess it was north of $15,000. My friend with the 1100T was griping that he could have had a lot more horsepower for far less money if he bought a used boosted Apex, but he doesn't like Yamaha. His complaint was that he expected more power for the money he spent.
If it's any consolation, the 1100T may have better handling characteristics than the Apex. But if horsepower is what you want, a boosted Apex is hard to beat.
