Can bt homehub be wired and wireless?

Hi my bt home hub has a adsl connection for wireless but im wondering can my ps4 also have a ethernet connection aswell as wireless working together?
Update: Sorry for the bad working I had to rush but what I mean is that can my ps4 have a wired connection aka ethernet to the router at the same time the router is also giving a wireless signal so my family can use their laptops and phones simultaneous wireless whilst I am playing with a wired connection
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