Well not exactly. I have set up ACH transfer between my dad and my account, but a couple of banks didn't let me. They are like both account holder should be the same. Bank told me that the only option I have is to wire the money.
On the other hand, I pay my employees through ACH (ADP take cares of it).
In the US if you want a fee-free transfer, you need to use your bank's app and take a photo of someone's check. And no, Paypal/Vinmo are not good alternatives. They're private transfer systems that are not federally mandated and regulated bank-to-bank transfers. I wrote a full post about this:
http://penguindreams.org/blog/the-american-banking-system-is...
It'd be more like the Federal Reserve enforcing free customer-to-customer ACH for everyone. There are some banks that do offer free person-to-person ACH (I believe 5/3 is one of them).
Zelle is basically the banks getting together and going around that critical lack of infrastructure. It does look like they have a lot of major and minor banks. Mine is still missing from the list though, and I suspect it will be years until everyone is supported or banks will feel they need to support it to enter the market. So no, the US is still way behind.