Partly. SketchUp Desktop is Windows and Mac only, with no Linux version. SketchUp for Web runs in Chrome, Firefox or Edge and works on Linux, and it opens your existing .skp files.
SketchUp by Trimble · Design, CAD & 3D · Only some of it works
Trimble's hardware and software requirements page lists Windows 11 and recent versions of macOS for
SketchUp Desktop. Linux is not mentioned, and there is no Linux installer.
SketchUp for Web is the genuine answer here. Trimble's own help says it recommends the latest
Chrome, Firefox or Microsoft Edge, and that it relies on WebAssembly, a browser technology those
three support. Your models live in Trimble Connect cloud storage, and a Trimble ID comes with 10GB
of it. You need a mouse and keyboard, and a scroll-wheel mouse makes orbiting much easier. On a
Linux laptop with Chrome or Firefox this works, and it is the same .skp files you already have.
Be clear about what the web version is not. It is a smaller product than SketchUp Pro. Extensions
from the Extension Warehouse do not run in it, LayOut for producing drawing sheets is desktop only,
and some import and export formats are missing. If your work depends on a particular extension, the
browser version will not save you. Check the plan comparison against your own habits, because the
free web tier is more limited again than the paid one.
Your .skp files are safe either way, because the web version opens them. If you would rather leave
SketchUp entirely, export models to DAE or STL first. FreeCAD reads those, though SketchUp's loose
push-pull modelling and FreeCAD's precise parametric approach are different ways of thinking and
the models rarely arrive tidy.