It's "Possible" in that after purchasing lots of equipment, it could be within reason to manufacture a 0.1 Amp hour LiFePO4 cell at home safely.
It's not LiFePO4 chemistry, but a visitor here
@danielfp248 has shared some of their adventures assembling cells at home of other chemistries.
constructing Zinc-Iodine battery cell
Welcome to my adventure building a Zinc-Iodine battery All experiments carried out from #100 are now shared publicly (https://www.dropbox.com/sh/67hdgpm5lijt5s1/AACS0gjDSYHZny_tLSfXXmfza?dl=0). The experiment_summary excel file contains a summary of all important variables in the experiments...
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constructing Zn-MnO2 battery cell
After looking at Zn-halide chemistries and running into big road blocks with both Zn-I and Zn-Br batteries, I have decided to explore the world of Zn-MnO2 batteries. Especially, mildly acidic rechargeable Zn-MnO2 chemistries. These batteries use very earth abundant elements and very low cost...
diysolarforum.com
As a learning exercise, I imagine the resource and one time hardware costs would be quite high.
To cope with a dynamic market, or high cell prices, I think it's not realistic to hope for a lower cost than sourcing from an existing manufacturer when all hardware etc is factored in.
If you try it, please observe all possible safety precautions and wear appropriate personal protective equipment.
Personally, I would not try it, but learning from others is fun.
The electrolyte with LiFePO4 is quite unfriendly to humans, so please do exercise utmost caution if experimenting.
LFP is touted as "safe" and "non-toxic." While certainly among the safest of Lithium options, it is not non-toxic by any measure. The electrolyte is very nasty stuff. Here is an MSDS...
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