3M brand "Command Hooks" are great adhesive hooks. But honestly, hammering a little nail hook into the wall doesn't require any skill and doesn't cause much damage.

I think for a spice rack, you'll need more than adhesive.

Nail holes can be filled, if you decide to change something. Put in your nails or screws where you want stuff and get it all hung, so you can enjoy your home. I personally have not had very good experience with command hooks, except for two that are on the walls of the shower.