I suppose you can if you think there is some benefit in doing so. It delays the healing of the scar where the sacrifice will be cut.
There is a technique, however, that can help promote the healing process. It’s one of Mr Ebihara’s techniques. Right where the trunk meets the sacrifice, take a chunk off the top of the sacrifice branch. Maybe half way through. Apply cut paste along the trunk where you removed the chunk. Next year, remove half of what’s left. (In the chunk section). Finally, in the third year, remove the branch. During the time you’ve been removing “chunks” of the base of the sacrifice branch, the portion above, along the trunk, should have been healing. The idea is the wound above the branch is starting to close over by the time the branch is completely removed.