If "touch" means physical contact:
* Ignore: To deliberately avoid contact.
* Avoid: To stay away from.
* Neglect: To pay no attention to.
* Repel: To push away.
If "touch" means to have an emotional effect:
* Ignore: To disregard or pay no attention to.
* Indifferent: To have no feelings or interest in.
* Unmoved: To remain unaffected by.
* Unimpressed: To be not impressed by.
If "touch" means to lightly brush or graze:
* Pound: To hit hard and repeatedly.
* Slam: To close forcefully.
* Thrust: To push or drive something with force.
If "touch" means to deal with something lightly:
* Dwell: To consider something in detail.
* Analyze: To examine something closely.
* Explore: To investigate something thoroughly.
The best antonym for "touch" will depend on the specific context in which you are using the word.