Yes,

I have done it here : https://gcollombet.github.io/mandelbrot/.
Github : https://github.com/gcollombet/mandelbrot.

This is using perturbation theory to compute iteration with better precision. It allow to keep precision where scale is closer to zero as calculus only use small number. It is because the derived formula that uses perturbation theory compute all point from a pre-calculated reference point, chosed very close to c or c, computed with arbitrary precision instead of c (which can be large).

Their is also various rendering optimisation to avoid useless rendering.

I found the technic in fractal forum https://fractalforums.org/index.php