Is it realistic to try and find a girl who would be the one leading a relationship?

i dont know if girls like those exist.

The closest that i can recall is when a girl, who i think was interested, used to initiate conversations and initiated touch by placing her hand on my abdomen, and asking me if i have a girlfriend. Sadly she had to move to another city so it never really went anywhere.

Is it realistic to try and find a girl who would be the one leading a relationship?
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