Is autocad working on MacBook Pro with M1 chip;

according to AutoCAD:

Apple Mac models with M series chip are supported under Rosetta 2 mode.

from this page, but scroll down to Mac requirements:

https://knowledge.autodesk.com/support/autocad/learn-explore/caas/sfdcarticles/sfdcarticles/System-requirements-for-AutoCAD-2022-including-Specialized-Toolsets.html

Apple-Silicon M1, M1 Pro, and M1 Max:

Apple says every well-behaved ordinary Application (that does not use Virtualization) will run on Apple-Silicon. It will use Rosetta emulation to translate the Intel binary to M1-binary.

Your Intel Apps will run and not crash while being executed on a completely different processor than the one the developer used. This is a truly remarkable feature.

It runs, and you can get your work done, which is what Apple promised and delivered.

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Most cross platform development systems, such as Android simulators, DO use Virtualization instructions, and are not currently working on M1 processors.

if the developer is serious about the Apple market, they will already be working on an Apple-Silicon OPTIMIZED version of their App. This version will ultimately contain code for BOTH Intel and Apple-Silicon, packaged up together as a "Universal Binary" and the correct modules for your processor are selected at run-time.

System requirements for AutoCAD 2022 for Mac:

Operating SystemApple® macOS® Monterey v12 (requires [AutoCAD] Update 2022.2)

There do not appear to be any reports that suggest it is not working under the latest MacOS.