I'm not a biologist so I can't say for sure, but it seems like it would be a lot easier to edit an existing living organism to produce those products than it would be to create completely from scratch. We already do this with the process known as precision fermentation. We've gotten very good at editing genomes via CRISPR and related techniques and are only getting better
but those guys could probably add components to their cell to make it truly self-supporting although in biology there is a big difference between "barely works" and "high performance"
It seems that eventually you could build much more flexible and powerful if you build from scratch. Hacking existing cells is a shortcut but longer term we may get grey goo.
I don’t think biological cells are likely to lead to grey goo the way nanobots are - we may just end up with green and pink goo instead of animals and plants though.
https://en.wikipedia.org/wiki/Precision_fermentation