Essentially yes, what's a bit more interesting is Lewis Acid theory, as well as acid ionisation reactions. Lewis theory makes a lot of generally non acidic things technically acidic: https://chemed.chem.purdue.edu/genchem/topicreview/bp/ch11/l....
Also one of them is magic! https://en.wikipedia.org/wiki/Magic_acid :)
This is how mine water and volcanic hot springs end up with negative pH; https://core.ac.uk/download/pdf/17247528.pdf