Kotlin should be able to make an impact there once the tooling for that gets usable. Currently kotlin-js is getting quite popular and a lot of that ecosystem could transition to wasm. Especially libraries.
IMHO this could also lead to a little renaissance in browser based UIs. The current DOM based stuff is just not great and there are a growing number of applications that basically sidestep that. We're using Figma and Miro for example. Most such applications are developed using Rust or C++ currently.
WASM + compose for web and some nice webgl backend for that could be quite nice to deal with in comparison. And there are a lot of Android developers and plenty of good design patterns to potentially target such a combination that currently have no interest in dealing with browsers, React, DOM trees, etc.
A key challenge is in the next years is coming up with a stack that works on IOS, Android, and Desktop (windows, linux, mac) that allows people to use Kotlin all over the place. Make it a full stack language.