No it doesn't have anything to do with it. If you have a wireless priner, you connect that up to your router.
Even if your PC is wired to the router, it will still see the wireless printer once it has been connected to the router.
It becomes part of the network that your router has created. Any device that connects to your router can 'see' any other device on it*
*In most circumstances
Either check the manual or google "printer model + connect to wireless router"