Yes, you can shower after washing your face. There is no harm in showering after cleansing your face. In fact, many dermatologists recommend washing your face after showering to allow the steam to open your pores, making it easier to remove dirt and makeup.
The steam from the shower can also help your skincare products to penetrate more effectively. However, if you prefer to wash your face before showering, that is perfectly fine too.
Ultimately, the best time to wash your face is whatever works best for you and your skincare routine.