No. Plain and simple.
Fedor is a very effective striker in MMA, when he chooses to strike. The 4oz gloves, combined with his whipping punch technique and massive hip torque afford him very powerful punches, just watch him hit Zulu, he dropped him in one shot!
However, the downside to his style means that he can't combo effectively, which is ok because in MMA a big single strike is often more damaging than a combo, hence why Fedor knocks people to the ground, whereas Nogueira just messes their face up. In K-1, with the much bigger gloves, aswell as much better striking defence, throwing massive bombs is often a poor game plan, comboing is essential to cause damage to your opponent, aswell as score points, and in 9 minute fights, KO's are harder to come by, so points are vey important.
Furthermore, I havnt seen too much of Fedor's striking defence, since its not often he gets into striking battles, but I'm willing to bet its not K-1 standard. The only fighters in MMA with K-1 standard striking defence I've seen are Mark Hunt and Cro Cop, and even they have deteriorated somewhat. MMA is such an expansive sport, there is so much to learn, that focusing completely on striking offense and defense just leaves a fighter unbalanced, MMA training detracts time from K-1 style striking training, and skills are just like muscles; if you dont work them enough, they wither and atrophy. Even though Cro Cop and Hunt havnt worked that much on the ground until now, they have worked on avoiding takedowns and getting back to their feet, but even training this can cause a decline in pure striking skill. If Fedor was in K-1, as soon as those combos started raining in, I doubt Fedor would be able to do anything to stop them. That is not, however, a criticism of Fedor; he has trained for years to be the top of the MMA game, which means learning MMA striking, grappling, submissions etc, he just hasnt had the time to focus on pure striking. Even Cro Cop and Hunt would need a tune up before getting back into the K-1 ring, though those two at least are imo still very capable of it.
Kicks are also a huge part of K-1, they have range over punches, score very highly and are immensely damaging. As a Thai boxer, I know, and anyone who trains MMA knows, that even blocking a head or body kick with your arms can be painful and is fatiuging. Even if you block it and stop it hitting your head, it still hurts you a bit and you can only block so many before one gets through. I've never seen Fedor's kicking. Yeah, I've seen him throw a few kicks to the legs of downed opponents, but I cant even recall seeing a low roundhouse kick, though Im sure he has somewhere, I just wont remember it, because the Thai low roundhouse is the bread and butter kick of MMA. Again, no criticising Fedor, as he is one of my favourite MMA fighters, but people who have only a punching game (even a really good one) don't last in K-1. Fedor most likely does not have a wide or effective arsenal of kicks, simply because he has probably never trained them, because most of them simply arent useful in MMA like they are in K-1. A solid kicking game is imo essential for K-1 success, Mark Hunt had a relatively basic kicking game, but he was a very short fighter, so he made up for it by being an amazing inside boxer. He got inside the range of the kicks and hammered people up close with huge punches, but he did have some kicks up his sleeve, and employed them when he saw nessacary. Fedor is too big to get inside imo, and would be kept at a distance and cut to bits by experienced strikers like Le Banner, Bonjasky and Schilt.
K-1 striking is imo an almost pure striking experience, though it has been geared to bring Muay Thai's effectiveness down (not allowing fighters to clinch for very long, not allowing elbows) so other striking disicplines had a chance too but Muay Thai still mostly comes out on top, whereas MMA striking is much less technical. I know some folks might get pissy about this comment but thats just how it is. Fedor couldnt hang in K-1, its a totally different beast.
So there it is, quite a read I must admit, but then K-1 is something I'm passionate about, it would be on a level with MMA for me, if it were more accessible in the UK.
I hope someone reads all that, because I think I pretty much covered why Fedor could never succeed in K-1 there