There are numerous synonyms for the phrase "not lay a finger on someone." Some of these include "not harm," "not touch," "not hurt," "not abuse," and "not hit." This phrase is often used to indicate a lack of physical violence towards another person. It can also be used to describe a situation where someone avoids any form of physical altercations or aggression towards an individual. Overall, the phrase "not lay a finger on someone" is a powerful statement that implies a strong commitment to non-violence and peaceful resolution of conflicts. It's a reminder that we should always strive to treat others with respect and kindness, rather than resorting to physical violence.