No, this was very different than ETH/ETC. Bitcoin cash was a minority of people forking away from the BTC chain to increase the blocksize. ETC was the original chain that was forked away from to reclaim stolen funds because of a smart contract hack.

Generally when people are talking about “hard forking” they are referring to the majority making a backwards incompatible change that leaves little activity or economic value on the original chain. Bitcoin never forks like this, because who would coordinate it?

Bitcoin core maintainers tried to fork it and were not successful (See bitcoinXT).

Miners and community leaders tried to fork it and were not successful (see bitcoin cash).

Bitcoin exchanges and businesses tried to fork it and were not successful (see segwit2x).

And many more will come, I imagine a PoS fork will inevitably come and not be successful.