Can I install luxury vinyl planks over ceramic tile?
The imperfections will be felt through the vinyl flooring if you do nothing.
Option 1:
You should remove any tiles whose edges are not flush; hammer them, chisel them, whatever.
Next you should pour self-leveling cement and sweep it into all of the grooves. Now you can install the vinyl.
Option 2:
Remove all of the tile until you get to the flat sub-floor and install the vinyl.
Removing the tile will be easy if you can get your hands on an SDS-max rotary hammer and use a good chisel.

Option 3:
Lay down 1/8th inch plywood and install the vinyl on top of it.