That is the million-dollar question. I am guessing nobody knows the answer to that for sure but in theory it could be possible. But, if we think about a parasite that we know more about, like Red Bugs, what do you think is the likelihood of eliminating them without treating the entire tank? If anyone has done this with just weekly dips, please chime in. IMO, it would be a very long and uncertain route to take.
So, my first thought was, "Yes, I would treat the whole tank." But then I realized that probably at least 3 treatments would be needed because of the eggs and three 100% water changes and working with a "dangerous" chemical might be a bit much. (Remember, besides the disposal issues mentioned by
@sculpin01, Ivomec can be absorbed through the skin so you should wear long gloves).
I just deleted a long write-up on how I would perform the whole-tank treatment after changing my mind based on the need for multiple treatments. But if you ever get desperate and need suggestions on how to do it, let me know.
Hopefully the weekly dips will work for you, and I agree with
@sculpin01 about using KCl (instead of the more toxic ivermectin) if that works.