tehcnically yes. Yes but are you expecting to feel the grout lines through the new floor, later, when the new flooring slumps into the grooves of the old floor.

You might consider Kerlite. It's a thin porcelain material sold in sheets that can install right over your old tile.

http://specceramics.com/content/blogcategory/87/608/

Maybe with vinyl it's different, but I would never again put laminate over existing tile. My upstairs bath has laminate, and I can hear the tile underneath crackling, which means that water is getting underneath and loosening the tile. I'm going to have to have that bath gutted and redone at some point anyway, but I would never do laminate that way again.