Hey friend,
So i believe any plant can be grown with just water, but the conditions of the soil need to be ideal. So if you were using a super soil mixture that had all the nutrients all ready mixed in then a grow without adding extra is definitely possible.
If you're using just an average soil, then you may be able to make it to flowering without nutrients , but it's questionable. There may be small deficiencies like calmag etc.
Good luck with the grow.✌️
*p.s you could always try a top dressing method over liquid fertilizers?