I don't believe we have any conscious choice about who we love and who we don't, so my answer would be "Yes".
How long the infatuation would last is another matter entirely, and I doubt an aggresive vegetarian would stay in love with me for long and vice-versa for my own part of the relationship.
Personally, I have no problem with people not liking the taste of meat; in fact my sister is a part-time Veggie, seeing as she does not savor the taste of red meat, I.E. she only eats fish and bird.
It's the whole "Meat = Murder" wave I think is inhuman and in need of a good psychologist, to be blunt about it.