Definitely eat! Inductions can take a long time and your body needs food to fuel it!
When I was induced I was able to eat all day when I went in but that's because they didn't start me on pitocin until about 430 5 pm but after that it was a liquid diet I would definitely eat a good meal before hand just in case they don't want you eating
Eat! Listen to your body most of all - are you hungry? Induction could take a while and you’ll most likely have plenty of bathroom visits before baby.