There is one way, but its kinda loop holey and might lock you into a path u dont want. If you took the Dragonblood Chymist archetype you gain Explosive Breath:
"At 1st level, a dragonblood chymist gains the ability to expel fire from his mouth in the same manner as a dragon. He gains the breath weapon bomb alchemist discovery but must apply this discovery to every bomb he creates.
This ability replaces the Throw Anything ability."
Because u get the "breath weapon bomb alchemist discovery" you do have the discovery class feature, and could take the extra discovery feat.
But as I said it is clearly a loop hole. Id say your DM might not allow it, but if they are ok with it, and you are, who cares, its your game have fun :)