So I’ve never heard of anyone engraving that specifically, but there are lots of bamboo projects on here if you search for them. “bamboo board in:first” will probably get you exactly what you’re looking for.
Like this: https://community.glowforge.com/search?q=bamboo%20board%20in%3Afirst
Now the magnet part, that’s trickier. It all depends on how strong those magnets are. If they’re super strong, they can trick the glowforge into thinking that the air assist fan isn’t working properly and it can shut your job down in the middle of things.
If you want to be absolutely sure before you try it, here’s a good trick. Tape a piece of cardboard on top of the cutting board, then set your power to 1. Run the job.
The laser will go through all the motions like it’s engraving, but the low power won’t damage the cardboard or your cutting board. If the job completes, then you should be good to go. Remove your cardboard, up your settings, and go for it.
So, I will add:
This is your first post. In case you’re new to the glowforge… cutting boards tend to be a little too thick for the glowforge. If the board (plus cardboard) is more than 0.5" thick be sure you know how to work without the crumb tray before you try it.