Absolutely not, Alnico II is totally incapable of driving high gain pickups, all you'd hear is a dull mush.That's why I spend so long voicing them, so I know what does and doesn't work.
As a general rule, once you're over DC14K Alnico II and Alnico III are no goes, even Alnico IV can struggle if the wind isn't right at these kind of resistances.This is where Alnico V and Ceramics come into their own as they have the power to drive higher gain pickups.
As with all things there are acceptions but gemerally the above applies.