Physical contact with someone is referred to as:

The term "touch" specifically refers to the act of making physical contact with someone, which encompasses both the action and the sensation associated with it. This concept is critical in various contexts, including emotional bonding, communication, and non-verbal interaction. Touch can convey support, empathy, and connection, and plays a significant role in human relationships.

In contrast, while "connection" may imply a relationship between individuals, it does not specifically denote the physical act of touching. "Contact" has a broader application that can encompass various forms of interaction, but it is less focused on the sense of physical interaction that "touch" embodies. "Interaction," likewise, refers to the mutual influence or action between people but isn't limited to physical forms; it can include verbal and emotional exchanges as well. Therefore, the term "touch" is the most precise choice for describing physical contact.