YES!
OP, why do you feel a need to oil your scalp? Listen to what your body is telling you. I haven't oiled my scalp in years and my scalp is not only healthy, it's also not dry.
Your body has its natural moisturizing mechanism and if there's one place it most certainly doesn't need your help is on your scalp. Try baggying your head w/o any products and see for yourself. You'll be surprised at how soft your hair will feel, especially at the roots.
Sometimes we bring problems on ourselves because we try to emulate others insted of listening to what our bodies are telling us.
ETA: The first day or so you go w/o oiling your scalp, you may feel weird about it. But give it time, things will settle and your sebum taps will reopen and take over.