Yes you can install hardwood floors over ceramic tile but with a few exceptions.
Can wood floors be installed over ceramic tile.
Solid 3 4 hardwood floors.
Carpet is another type of flooring that can be successfully installed over ceramic tile.
To install ceramic tile over wood the wood surface must be structurally sound enough to support the weight of the tile.
This can be accomplished with the use of a flooring buffer and very coarse grit paper.
Installing over wood.
Depending on what type of carpet or padding is selected it will add some height to the floor.
Installing hardwood floors over tile.
Also the tack strip holes will all have to be drilled because the ceramic will shatter if you try to nail directly into it.
If your ceramic tile has grout lines that give it texture you will need to fill those in to make your flooring completely level.