That's no moon, it a space station... ;)
I think that Titan is thought to have no significant magnetic field. I read a paper where there was
modeling of it's atmospheric isotopic ratio and it was assumed no shielding from solar wind sputtering.
Given it's size and relatively cool solar distance probably not a core dynamo like the Earth (and Ganymede)
but who knows? Possibly an induced field, much weaker than Europa's, if there's a conducting layer
on Titan.
Easy money says no but easy money has been wrong before.