I'm thinking at best you'll chip it if you use metal stamps at worst remove a large chunk so I wouldn't do it, but you won't know till you whack it, might be fine and I'd go with
@Nostradoomus
Trying the bottom plate first
Other options
I've ironed toner transfers to powder coated boxes with the temperature at max with no problem
My logic being it was coated in an oven my iron gets no where near as hot as so wouldn't damage or remove the powder coat
If you're just stamping ink on like Dan does, it'll be fine as long as you can get it to adhere check some of Dan's build reports, his logo's particularly cool I think
Painting over, I'd maybe go with an enamel model paint you'll need something that'll stick to a fairly glossy and not completely smooth surface so I'd also recommend a clear coat if you try it or it'll scrape off easily
Here's one of the said ironed on toner transfer boxes a ppcb simulcast only problem is if it doesn't adhere fully it's a mofo to get off to try again, I left the iron on much longer than I normally do about 20 minutes