My laptop has both wireless and a wired connection capabilities. Can I connect to a router A using wireless and a separate router B using wired ethernet at the same time without having to switch back and forth?

Thanks for replying so quickly.

I wish to connect to two separate networks. The wireless connection is to router A which is connected to broadband internet. The wired connection is to router B which I wish to share files and a printer on 1 or 2 other desktops also using wired connections on B and maybe using synergy to have only one keyboard and mouse for 2 desktops. The wireless laptop is the only one required to have internet access.