I think there are thrusters on the Russian side of the station. They aren't large but they move the stations orientation for docking sometimes. (And cartwheels for fun and horror)
It does have thrusters used for orbital correction about monthly, (and maybe dodging debris here and there,) but it's fair to say that system is not for taking trips or anything.
Even less than that - most of the station-keeping is supplied by visiting spacecraft; the thrusters on the (ancient, failing) Zvezda module appear to be rarely used.
No, it has no propulsion system. That is the difference between a ship and a station.