Can I run Autocad on Apple M1 chip MacBook Pro?

Best to check with AutoCAD. It is a developer's duty to make their software compatible with current macOs versions. However a quick Google search turns up this discussion in their forums:

https://forums.autodesk.com/t5/autocad-for-mac-forum/compatibility-new-macbook-m1-chip/td-p/9876996

To me it sounds like that are working on an Apple Silicon version. The most recent version can run under Rosetta 2 emulation, but not without issues.

Again, contact AutoDesk for a definitive answer.