Balance charge unknown number of LiPos in series
With an off the shelf balance charger that you can buy in a hobby shop the answer is almost certainly: no.
The &quot;solution&quot; to this is to quit charging the stack and doing &quot;balancing&quot; and just charge each cell individually.
The way you've drawn your diagram it looks like each individual cell has a high-power connector, so the wiring shouldn't be an issue.
Of course, this means you have to design your own charger.
You can either design it for multiple individual cell chargers, or you could go for something that does full-blown, active, high-current balancing like the LT8584:
https://www.analog.com/en/products/lt8584.html
Good luck.