[asdff]

Some caveats with this theory is that these non ribosomal peptides are synthesized by an enzyme that itself is encoded in DNA.

But RNA alone is sufficient to template off itself and create new copies. It can fold into catalytic forms akin to folded proteins. It can even spontaneously generate into chains from the constituent monomers under certain assumed early earth conditions (1). There is a lot of literature behind this formation under various conditions. A lot of guestimates on what these conditions might translate to experimentally, but the general trend is that this seems to be possible under early earth conditions.

1. https://pubs.acs.org/doi/full/10.1021/acscentsci.5c00488

What is left is determining how the consitutent nucleotides might have formed. People have ideas on this though. This review is a bit old now but on topic at least: https://pmc.ncbi.nlm.nih.gov/articles/PMC6316623/#sec4-life-...