I think the most important part of that question is "date". I am not trying to make a semantics issue out of it, but because tickling is such a big piece of my make up, I'd have to say no, or probably not. The exception being that if I didn't know weather or not she was (ticklish) before I got involved beforehand. It would depend on the person, of course. That said, it would most likely change the relationship.
Frankly, tickling is part of my sexuality. To not have that facet in the relationship is no different than asking someone not inclined to our paraphilia if they could forever forgo sex with their dating partner. I guess one could, but I don't think I'd want to.
I was married for twelve years to someone who was very ticklish, but flatly refused to let me do so. I know its not the same thing as the OP's question, but close enough. The relationship was what it was, but was quite frustrating at times and I'd have to say that I wouldn't want to be in that situation again. A special person could perhaps change my opinion, but painting with a broad brush, I'd still have to say I couldn't.