NO. oil based substances are irritants, not only should you not be massaging the injection site, but for every shot you should be using the z-track method of injection.
Having the oil seep to the subcutaneous layers increases the chances of a sterile or nonsterile abcess as well as cellulitis or general irritation of the area.
You want to inject deep(no 5/8″ pins), and keep the oil in one spot.
massaging the area of a shot can force the oil up the needle track(it doesn’t close up near as fast as you think) into the sub-q area. It can also force it along the muslce fascia and through the fibers causing damage as it goes leading to more scar tissue and the possibility of deep tissue irritation as well. No one wants a swollen knee or elbow, do you?