{c}

In the standard formulation of <Maxwell's equations>, the <electric current> is a convient but magic input.

Would it be possible to use <Maxwell's equations> to solve a system of <pointlike particles> such as electrons instead?

The following suggest no, or only for certain subcases less general than <Maxwell's equations>:
* https://physics.stackexchange.com/questions/498892/solution-to-maxwell-lorentz-equations
* https://physics.stackexchange.com/questions/380741/complete-classical-description-of-two-interacting-charges
This is the type of thing where the probability aspect of <quantum mechanics> seems it could "help".


 Maxwell's equations with pointlike particles