I need help! Miniature bases!

If I have a painted model on a painted base, can I change the base's paint by dropping a different technical paint carefully around the already standing model on the base?

I have a decent number of models that are fully painted on a readied base with bushes and dried brush strokes ontop of the Technical, the paint itself is not really thick, it's quite thin! Is it okay to take another different Technical paint and paint over the already thin painted base to idk... Make it more snowy instead of muddy?