Some theoretical physicists may argue this point, but the possibility of a planet like that in the film existing in the real universe seems highly unlikely. Let's assume the black hole is 100 million times the mass of the Sun, and spinning rapidly. If the planet were close enough to a black hole to have its time slowed down as much as that, it would almost certainly have been ripped apart by something called the tidal force – the difference between the gravitational pull on the near side of the planet versus the far side.
Even if it survived that, it'd be irradiated by x-ray radiation and probably smashed by other things falling into the black hole. It also couldn't have formed so close to the black hole, so unless it was in the process of falling in (which would make it a lousy candidate for a new home world), it would take a lot of really unlikely events to put it there.
Sunlight would be another issue for the planet, because there wouldn't be any if there's no star. The black hole would be a poor source – the accretion disk produces light, but mostly in the form of x-rays, and those would fry the planet's atmosphere.
Putting all that aside and imagining that it did exist, landing on such a planet is going to be a problem. You'd have to catch up to it, and somehow land without orbiting, because if you were that close to the black hole, any small orbital error could send you past the event horizon and into the hole. Getting off the planet (and away from the black hole) would also be incredibly difficult, since you'd have to achieve escape velocity from the hole, which at that distance is nearly the speed of light. You wouldn't get away without using way more fuel than you'd use on a trip to one of the other planets. Not a great plan.
Verdict: Maybe plausible if everything is set up exactly right, but fantastically unlikely.