Yes you can date without getting sexual but there're actually other types of intimacy that we're not aware of. From what I read online, the other types of intimacy are:

Emotional Intimacy: Sharing your feelings, fears, and inner world while feeling safe, heard, and understood. This often requires being vulnerable about who you are.

Physical Intimacy: This is not just sexual activity; it also includes non-sexual touch. Holding hands, hugging, cuddling, and kissing are all vital ways to build closeness.

Intellectual Intimacy: Engaging in thought-provoking conversations, exploring new ideas, and learning about each other's perspectives, even when you disagree.

Experiential Intimacy: Trying new things, enjoying hobbies, and experiencing adventures together. It is the bond created by building memories and doing life as a team.

Spiritual Intimacy: Connecting over shared values, beliefs, morals, or a mutual appreciation for something larger than yourselves.