Using your free object interaction, you can draw both weapons at once
During either your action or movement you are allowed one free object interaction, this can include drawing a weapon. Thus, when you’re taking the Attack action and drawing a dagger using the benefit from Thrown Weapon Fighting Style you can also draw a second dagger using your one free object interaction. Doing this results in you holding two daggers at once and thus you would be able to use Two-Weapon Fighting.
Perhaps worth noting is that this still works once you get Extra Attack, though slightly differently. You would then have two options:
Draw both daggers, throw one, throw the second using Two-Weapon Fighting, draw a third using Thrown Weapon Fighting again, then finally throw it.
Draw both daggers, throw one, draw a third using Thrown Weapon Fighting, throw that third dagger, and then throw your second dagger using Two-Weapon Fighting.
You can also interact with one object or feature of the environment for free, during either your move or your action. For example, you could open a door during your move as you stride toward a foe, or you could draw your weapon as part of the same action you use to attack.
Here are a few examples of the sorts of thing you can do in tandem with your movement and action:
- draw or sheathe a sword […]