To clarify, you're looking for the tech to run an Ethernet cable from one room to another? Though our technicians can do this for a coaxial, cable should you require it, to move your modem, to my knowledge doing so for an Ethernet cable would be not be standard practice. If the technician has time they may be able to do so but it's not something we can guarantee.
Alternatively though you can always take the options to have the modem relocated if needed or look into Rogers Wall-to-Wall WiFi Network. It uses multiple WiFi points working together to provide powerful and reliable whole-home coverage. Eero's TrueMesh technology automatically finds the best pathway to connect each and every one of your devices to the internet.