Artificial Intimacy is an AI art installation that explores what natural language processing (NLP) models in our everyday lives would feel like if they were to be personalized to match our own personalities and values. We explored the possibility of fine-tuning NLP models using personal social media data. Our selected data sources - Leslie Foster and Gorjeoux Moon - have offered their own social media data to fine-tune the models. We present a video capturing their conversations with their social media selves. The interactive portion of the installation invites the audience to engage with Foster's and Moon's chatbots and explore interactions with NLP models that are personalized in this way.