The short answer is yes. While this might seem like a strange concept, those who have been victims understand it all too well. An acquaintance starts sending excessive messages, magically showing up unexpectedly, asks too intimate or probing questions, gives inappropriate gifts, and seems to immerse themselves into environments or other friendships just to stay close. At first glance, this might be innocent but over time it becomes something quite different. In order to better understand what this looks like at an addictive level. It is best explained first by having a definition of what it means to be addicted to a substance. Then that same definition can be applied to a person later. 1. Substance abuse. Just about any substance can be abused when it is used beyond the recommended dosage. The substance meets a desire for an escape, pleasure, numbing, or fantasy. Seen in the reverse, this is the inability to consistently abstain from a substance without a physical or emotional reaction
Source: Can You Be Addicted to a Person?