It's clearly possible to make muscle cells (and other components of meat) reproduce rapidly: cattle exist.
It's clearly hard, or we'd have already have all this plus vat-grown organs and (affordable) vat-grown leather.
And some (non-meat) cells are already convenient to grow in vats (you just don't want to get all your protein from nutritional yeast and/or spirulina).
"1000 ways to not make a lightbulb", or whatever the real original Edison quote was — what's the number, 90% of start-ups fail?