I've done a lot of rock hopping, water crossings and the like. We used to do cross country "directional" hikes where you pick a direction (south by south east) and stick to it no matter what you come across...including water.
One of our local hikes that I've done more times then I can count over the last 40 years involves 7 water crossings (which means you actually use the water as a trail for some of the way) and about a mile of rock hopping.
I've also done a fair amount of water hiking and river crossings with ropes during spring trips. All good fun. None with a special name. Like our game of directional compass hikes, that doesn't have a name, but it surely is fun.
I googled "water hike", but didn't find anything. It doesn't surprise me if someone comes up with something new, like parkour.
“Life is not a journey to the grave with intentions of arriving safely in a pretty well-preserved body, but rather to skid in broadside, thoroughly used up, totally worn out and loudly proclaiming ... WOW! What a ride!”