My napkin math using typical delta-v.
Standard LEO to earth-Lunar L4/5 is a delta V of ~4km/s at high thrust or ~8km/s at low thrust. [1]
You can use the Tsiolkovsky rocket equation to calculate how much fuel you need to move the space station. [2]
(Station +fuel mass)/(Station mass) = e^(deltaV/engineISP*gravity)
ISP for an efficient rocket engine like raptor in vacuum is 360 s, you get a ratio of 9.7. If (Station +fuel mass)/(Station mass) = 9.7 so fuel required = 8.7x the station mass.
The space station is 420,000 kg, so we need 3,650,000 kg of fuel. Falcon 9 payload to LEO is 22,000 kg, so this is 167 Falcon 9 cargo launches.
Starships hypothetical cargo is 120,000kg to LEO, so 30 starship launches would be required just for fuel to move the space station.
Some starships would have to act as engines and fuel tanks for the space station, further increasing the mass and number of launches. Starship fuel capacity is 1,200,000 kg and the empty mass is 100,000kg, so you would need at least 3 starships as tanks, which adds another 300,000kg of mass to move.
https://en.wikipedia.org/wiki/Delta-v_budget#Earth%E2%80%93M...
https://en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation
https://www.spacex.com/vehicles/falcon-9/