It will. Depends what type of bear though.
A grizzly? Their fat butts slowly climb at a glacial pace. A black bear? No climbing as they are Olympic class climbers, but you stand, make yourself big, and “fight” as they are cowards and are terrified by confrontation.
A polar bear? Lmao, get ready to die.
What kind of small sad trees are you climbing?
A grizzly is never knocking the down a bog standard regular oak tree.