Battery Question

I'm planning on building a lithium battery charger, but I've hit my first problem! I want to charge a 2 cell pack, but I want to charge each cell individually (so the cells are balanced). How would I do this? Yes, I know there are dual cell charge ICs out there, but is there a way to use two single cell charging chips? Would something like this work?

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If your pack has 3-wire connector, sure you can charge batteries independently, one by one.