Is it possible to "root" a small tree branch that has been cut off?

I am good with trimming and re-rooting plants in water to establish a second plant but I did not seem to have any luck with my favorite tree branches and blooms which I pick every February here in California. (They are pink thick orchid looking flower petals-I don't know what they are??) I want to know if it is possible to start the clipped branch in water to get a root and new tree eventually? If so, how, what method works and does anyone know the name of the tree and flower I mentioned? Thanks alot!