Not Possible in Technic
It is not possible to tame a bear in LEGO Technic. Here is why:
A building system, not a simulation: Technic is a LEGO line focused on constructing mechanical models. It does not include features for interacting with or taming virtual animals.
Real-world training vs. plastic bricks: Taming a bear is a real-world concept involving animal behavior and training. That cannot be replicated with a LEGO model.
If you had a different game, program, or virtual world in mind, please share more details so I can point you in the right direction.