Tear tree parts apart?

Would it be possible to split the different parts of a tree in an explosion or due to intense wind, since a tree is made of multiple parts? I’d like to see the branches fly away due to a force.

It is possible, it just depends on the level of realism you want to achieve. The simplest solution would be a tree consisting of already separated parts: trunk and branches. Each branch would need a Rigidbody set to kinematic for not falling off and that set to kinematic true just before applying forces to throw them off.
This will get a whole lot more complicated if you want the tree to incorporate with Unity’s terrain, move it with the wind, or if you want to split a tree consisting of just one mesh at the start.