No. Adobe's system requirements for After Effects list Windows 11 and recent macOS only. There is no Linux version and no browser version.
Adobe After Effects by Adobe · Design, CAD & 3D · No way to run it
Adobe's requirements page for After Effects lists Windows 11 version 24H2 as the minimum on the
Windows side, plus macOS. Linux does not appear. After Effects also depends on the rest of Creative
Cloud, on specific GPU drivers and on OpenCL versions, which is another reason a compatibility
layer is not a serious answer for work you get paid for.
Motion graphics is one of the weaker spots on Linux and it is fairer to say so than to pretend
otherwise. There is no free program that does what After Effects does in the way it does it. What
exists is a set of tools that between them cover much of the same ground differently.
Your .aep project files are the hard stop. Nothing on Linux opens one, and there is no converter.
Before you switch, render out final versions of anything you might need again, and keep the source
footage, fonts and assets organised somewhere you can reach. If a client might ask for a change
later, keep access to a Windows or Mac machine, because rebuilding a complex composition from
scratch is expensive.
Blender is the most capable of the free options and it is what most Linux motion graphics work is
actually done in, using its compositor and 3D scene together. DaVinci Resolve has a free Linux
version with the Fusion page built in, which is closer to After Effects in purpose and is a
node-based way of working rather than a layer-based one. Kdenlive is only for straightforward video
editing with titles, not effects work.
Free, and where most motion graphics on Linux gets made, combining 3D, compositing and video editing. Different enough from After Effects that you are learning a new craft.
Your files: Cannot open .aep. Imports your source footage, images and audio, so you rebuild compositions by hand.
Only if your After Effects use was titles and simple transitions. It is a video editor, not an effects program.
Your files: No .aep support. Handles common video and image formats.
This doesn't have to stop you
One stubborn program doesn't have to decide the whole question. You can keep Windows on the same PC and restart into it only when you need Adobe After Effects. Everything else you do can move.