Definitely. The mammoths will probably fit right in.
That does not mean it will be without noticeable and possibly negative consequences for the few people that do live there though. A rampaging elephant is no joke, regardless of the amount of hair it has, and elephants do seem intelligent enough to be moody on occasion. Who knows how they'll respond to being cloned back into existence and then put in a foreign environment without their ancestors' culture?
It also has very nearly zero population.