It would be wise to consider vinyl, tile, or carpeting screened for stain resistance, since hardwood floor can damage easily. Laminate and LVT are also a safe option.
You can install certain types of flooring (vinyl, laminate, hardwood, carpet, etc.) over existing flooring, if the surface is firm, hard and flat. You cannot install anything over a layer of any kind of floating floor.
There are waterproof laminate and vinyl flooring, and you can even get hardwood that is quite moisture repellent, but the safest option are ceramic or porcelain tiles. As there is less moisture in the kitchen, you can get more creative there.
