Can I use base station as a piggy back from my router? i.e. router in one room and base station in another room?

I have a Sky Router which is in one place which I cannot change (I am in a 1420 listed Property). Nor can I fit any printer to it; I have no space there. So I want to use Base station remotely in another room. I need to how and if it can be done. Thanks!

AirPort Express

AirPort Express

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