I can't say for sure. The first non-fluoride toothpaste, and the one I used for the longest amount of time, was Coral White brand[0]. Hydroxy(l)apatite is not listed as an ingredient, but I also found that it has been derived from coral since at least 1974[1]. Best I can do is... maybe?

[0] https://coraltoothpaste.com/products/coral-white-mint-toothp...

[1] https://www.nature.com/articles/247220a0