Oh it's entirely possible.

    Space Infrastructure Servicing (SIS) is a spacecraft being developed by Canadian aerospace firm MDA to operate as a small-scale in-space refueling depot for communication satellites in geosynchronous orbit.

https://en.wikipedia.org/wiki/Space_Infrastructure_Servicing

and also

    OSAM-1 (short for On-orbit Servicing, Assembly, and Manufacturing 1), a robotic spacecraft equipped with the tools, technologies and techniques needed to extend satellites' lifespans - even if they were not designed to be serviced on orbit.

    During its mission, the OSAM-1 servicer will rendezvous with, grasp, refuel and relocate a government-owned satellite to extend its life. But OSAM-1's effect will not end there.

    The benefits are many. OSAM-1’s capabilities can give satellite operators new ways to manage their fleets more efficiently, and derive more value from their initial investment. These capabilities could even help mitigate the looming problem of orbital debris.

https://nexis.gsfc.nasa.gov/OSAM-1.html