Do cars have faces? Are the windows of a house its eyes? Yes, but we made it so. We made them in our own image as the gods of stone and steel and toil (which means we are not gods at all). We cannot pretend we made the trees. Some don’t even strike notable resemblance.
The problem is the outside of the body. Branches and arms can sway in kind, but an arm can’t fork off into infinite smaller versions of itself. Then there is the question of will, though one doubts the arms possess it by themselves.
The analog is the insides. Veins and capillaries that split off like sticks. Nerves bundling up to the encompassing canopy. The miracle of geometry aligns to impress life into a sturdy thing, as frail as it may be. But in that case, no, they shouldn’t really look like people.