Could another character be controlling Rey from a distance?
Possibly. In Legends, the power of Force corruption could be used to sway people from a distance:
Force corrupt or Force corruption was a dark side ability that could
temporarily manipulate the minds of other sentient beings and make
them serve one's own cause. During the Galactic Civil War, it was
sometimes employed by the Force users of the Galactic Empire, possibly
including Mara Jade and Palpatine himself, taking control of enemy
soldiers and making them serve the cause of the Empire by attacking
other enemy units.
According to this answer, Jorus Cbaoth and indeed Palpatine were able to control minds over great distances.
These are all Legends works, however. Their relevance to the main Disney canon is unclear.
Is it likely?
The answers to this question already explain why Rey was able to beat Kylo Ren, even though he had more training than she did.
The door in Maz Kanata's place probably opened because it was motion-activated. No Force necessary.