When we think about intimacy we associate it with physical intimacy however, it is not limited to it. Intimacy is not synonymous with sex. Intimacy is a feeling care, connection, affection, compassion and trust in a relationship. The different types of intimacies are emotional, physical, intellectual, spiritual and experiential. There are some of the ways people try and connect with others. As an individual you can decide what kind of intimacy you choose in the relationship. You can have all these or just one of these.
Sources:
https://www.goodtherapy.org/blog/psychpedia/intimacy
https://www.verywellmind.com/what-is-intimacy-in-a-relationship-5199766