When describing a strong pull or desire towards something or someone, there are numerous synonyms for "have an attraction". Some of these include: be drawn to, feel a connection with, be attracted to, be interested in, be captivated by, be fascinated by, be allured by, be enchanted by and be enticed by. Each of these expressions implies a slightly different level or type of attraction, but they all convey a sense of being strongly drawn towards something or someone. Whether it's a new hobby, a place you've never visited before, or a person you've just met, there are plenty of ways to describe the feeling of "having an attraction".