I've actually done this very thing by going remote control mode for all the kitchen lights and linking them to the same switch. In my specific case the integrated light in the hood came with a separate plug, so I could use a remote controlled plug in between:
This particular setup has operated flawlessly for probably five years now (I did wrap the RC plug in a plastic bag to eliminate grease build up, this has worked as intended though). However, hoods tend to have a lot of excess internal space, so it should also easily be possible to use a (small) built in version of that switch:
I've applied this particular type of switch to control the integrated light of a ceiling fan unit, so a hood light should work too.
These can then be linked to either (or both) a hand held RC, or a wall mounted one that you can literally stick anywhere (I have switches in several places linked to this kitchen group):
As available systems probably vary greatly per country and part of the world I can't
(/want to) do specific suggestions, however I'm sure you'll be able to find equivalent products.