"Day of the Moon" provides some information on this, but I'm not sure whether it's an argument for or against the possibility:
CANTON: She dove off a rooftop.
DOCTOR: Don't worry. She does that. Amy, Rory, open all the doors to the swimming pool.
(River turns into a dive, and plummets through the Tardis' open door where it is parked on the side of the skyscraper. There is a big Splosh! [sic, my copy is of questionable provenance])
Doctor Who (new series) S6E2 "Day of the Moon"
The "big splosh!" is not merely a sound effect but a visible splashing of water out of the TARDIS's front door, which suggests to me that the door was directly connected to the pool. But it's not clear to me why the Doctor asked Amy and Rory to open the doors, plural. I assume he was talking about doors internal to the TARDIS, rather than the front door. That would mean she fell through the control room into the swimming pool. And if he could just rearrange where the front door led, it seems like he wouldn't need them to open any internal doors. Perhaps he wanted to make it easier for River to get back to the control room? But she should know her own way around the TARDIS, since she can usually fly the thing better than the Doctor.
Out of universe, I suppose the writers put this in because they just needed to get the phrase "swimming pool" into the script (to explain River's survival) with as little unnecessary exposition as possible. I doubt they were actually thinking about it at this level of detail. Perhaps even they don't know whether the Doctor can change the front door in this fashion.
So in conclusion, we just don't know.