Oh, yes. Never tought about that. (If Kuma can repel fire, he can repel a Logia...)
hü.. wait what? teleportation bible?! when was that said?
There was a theory going around about a year ago that Kuma's repulsion powers were his own, and that the teleportation power came from his Bible. This theory was "supported" by the fact that Kuma was writing in his Bible right before he teleported Pelona. Despite being rather forced, the theory gained much popularity. However, to date, there is NO indication that Kuma's Bible posseses any Devil Fruit power, and his teleportation power is usually interpreted as being him repelling something in a certain direction, giving the appearance of teleportation. Also, the "writing in the Bible scene" is shown to actually be Kuma flipping through the pages of his Bible, both if you blow up the image in the manga, and in the anime, so what little proof the theory had is basically gone.
if its the bible that gives him the teleportation-ability, why do big paws appear where Luffy and Nami landed???
Kuma has been shown to be able to repel air when he fought Zoro on the Thriller Bark. The power of Kuma's Nikyu Nikyu No Mi is to repel objects, tangible and intangible. Logia fruits allow the user to turn into the element be it fire, sand, smoke, ice etc. If Kuma can repel air why wouldn't he be able to repel other elements? There is basically no limit to what he can repel and that's what makes him so formidable.
Yes I've already admitted that he should be able to repel parts of a logia(be it light, ice, thunder etc.) . He repelled air in Thriller Bark, but the fact is he didn't repel all the air in Thriller Bark he only repelled the parts that he was touching.
But isn't the Human Human Fruit already taken? Which other one could it be, assuming that that's true?
Imitorar has well answered : the only solution would be he ate the human DF because he is a cyborg (" half human, half robot ").