Yes you can but it also depends on the type of fingerboard that you have.
After ordering my F Bass fretless, I was surprised to see rounds on it. I always thought fretless meant flats to protect the fingerboard.
I called George Furlanetto and he explained that with ebony fingerboard, you're good for about 15 years before anything needs to be done.
I mentioned some marks I could already see after playing a couple of days. He said that it was just the finish, nothing to worry about.
He suggested that next time I change strings, I use a light 000 steelwool to remove the marks... haven't changed the strings yet
I would be a bit more careful with rosewood.