Could being double-jointed in your hips lead to possible hip dislocations or other problems in the near future?

It may... Hip stability is determined primarily by the position of the components and soft tissue tension. If someone has inherent ligament laxity, then they are statistically at a higher risk for developing instability. However, the risks are still relatively low and a good hip surgeon can use component position and offset to maximize the stability of the implant for an individual patient.
Not likely. Hip dislocations occur almost exclusively as a result of significant trauma. It is a very stable joint even in someone who is "double jointed".