To clarify, does nofap mean I shouldn't fap to fantasies either?

You need to give your brain a chance to heal from the overstimulation of the reward circuit. Eventually, you want your brain to reboot to factory settings so you can respond sexually to another person - not to your hand and not to contrived sexual scenario's in your imagination.

 

No masturbation of any kind. This even goes so far that you try not to objectify women, i.e. think of getting laid with them too much. Any kind of artificial stimulation so you can break your dopamine addiction.

Of course you can draw the line between what you will allow yourself to do and what you won't yourself, but I recommend that you stop masturbation, including edging, entirely. I suppose you are asking this question because you think it gives you some actual relief, so there would be something positive about it. But once you quit you will see that this relief is an illusion, it's not necessary and it doesn't help you with anything.