Is it possible?

Is it possible to go into interior design or furniture after graduating with an ID degree?

what do you mean, is it possible? of course it is possible. be passionate about what you like to do, and it will all work out. you certainly have a better background for furniture or interior design with and ID degree than most other fields of study…

Entirely possible, and there’s other facets of design that you can be eligible for as well. “Product Design” is not the be-all-end-all, trust me.