Is there anything preventing a first-level alchemist from buying a sixth-level alchemical formula?

The alchemist starts at level 1 with eight first-level alchemical formulae – two from their specialisation, four from their alchemical crafting feat, and two for free because they’re alchemists.

Alchemy alchemy alchemy.

But when I looked up purchasing formulae on page 293 of the CRB, I found that a sixth-level alchemical formula is only 13gp.

If a level 1 alchemist were to spend 13 of the 15 gold pieces they start with on such a formula, would they immediately be able to craft it and use it?

Alternatively, given that moderate versions of bombs are only level 3 formulae, could the alchemist purchase these formulae and start using them immediately with their infused reagents and quick alchemy, skipping the lesser versions entirely?