Is there a way to bake the camera shake values to the keys in sequencer?

In the meantime sure, but that isn’t the point, if you want to build an automated system, where you can spawn camera shake based on events in a scene for example, you should be able to do that, and have the whole system work end to end regardless of the kind of project you are working on.

I mean that is a huge part of the reason to use UE in the first place is so you can use it to procedurally aid in content creation and reduce the need to manually create everything by hand if it is something you have to do over and over again. Camera shake is one of those things, especially if you are going for more of a handheld look that can, and really should be created procedurally, but it also needs to be repeatable, like say in a seed value, similar to how Niagara particles can be made to be repeat the exact same response every time, a good example for both cases would be something like stereo content.