Depends.
If cellulose thinners shifts it, then probably. If it doesn't it's most likely not worth the bother.
Cheapest way I know to get stuff that might shift it is to buy a 5ltr can from a garage that repairs paintwork.
It's a lot of thinners though and will last you years.
Depends on how much you paid for the blanket too, some are too past it to be considered trying to restore them.
cheers,
M