I don't carry nail clippers on hiking trips, but I've trimmed nails on longer trips, including toenails. If you keep an eye out on standard long distance routes, sometimes a hiker box will have a nail clippers and (after streaming maximally hot water over them and/or alcohol stove fuel ...) that's the best approach for me. But if I soak my nails for a while, the scissors on my little pocket knife do surprisingly well.
Instead of "not trimming", my feeling is that it's best TO trim when nails grow long enough they start to tear holes in socks, but to not be too aggressive about it.
For hikes of just a few weeks or less, however, best to just trim before going, and then only trim on the trip itself if some specific issue arises (as with the O.P.).