can chug be used with food, like chugging down my lunch

Everywhere I’ve looked, it seems chugging down has to be followed by a drink. But can I use it with food as well? Like "I was doing something (say, walking) while chugging down my lunch". Is it okay? If not, what’s a better way to say it?

Edit:
In the context I’m trying to use it, I don’t want any pleasant connotations with it, or make it seem like the person is enjoying it or hungry even, or eating ‘enthusiastically’, as ‘scarf’ seems to suggest. In my context the person is doing it out of necessity, in a depressing/sad way. That’s why ‘chugging down’ was the first solution that popped up–there’s nothing necessarily pleasant about it, and one can eat in the same manner as he would chug down a drink (literally without chewing and finish it within the span of seconds). I’m also thinking about Yosef’s comment under my question about what makes something okay and not okay, especially when it’s a slang. Any thoughts on this?

To further clarify:

1. Chugging down doesn’t necessary imply enthusiasm or appetite (in my opinion).
2. I do want the intensity / speed / mechanics / imagery of ‘chugging down’ to be there — it’s not merely the depressing aspect of it I’m trying to get at.