You can do that, and some builders essentially do that with sets of battery modules from plug-in hybrids (such as the Chevrolet Volt and Chrysler Pacifica Hybrid), because each set only holds about 16 kWh. Each set (or "string") runs at the desired overall battery voltage, and the sets are connected in parallel. This is valid whether the sets are packaged as separate packs, or all in one box.I now think I can make a 4 module pack and use it 4 places. this would give the possibility of 16 modules although i do not think I would want to go the full 16 route. It occurs to me that if each pack had the final voltage, then theoretically I could build with one pack, then add a second, third and even a fourth later? Is this a good approach?
The issues with parallel packs are that each one needs a complete BMS, and they will never quite equally share current (either when discharging or when charging). These can be manageable, but they are why production EVs don't use parallel sets of modules.
Although people talk about starting with one set and adding more later, I haven't noticed anyone actually doing it... which doesn't mean that it wouldn't work.
But Tesla modules are not small; if you string 16 of them together you get the full 350 volts. There is a somewhat dicey modification to change a Model S module from 6S to 12S (with of course half as many cells in parallel), but for a set of four modules to have the 96S configuration required to give the full 350 volts, each one would need to be reconfigured to 24S, and there's no reasonable way to do that.This is assuming Tesla S batteries and a Tesla LDU.