No - if you've never done something, how can you know if you enjoy doing it or not? You're talking here about what you
want to do - not about what you enjoy. So you can say :
I've never played tennis and I don't want to try.
but if you use
like, you are making a hypothetical prediction, so you need
would :
I've never played tennis and I wouldn't like to try.
The version with
want sounds more natural however.
I suggest you change your mind though - it's a great game! Much better:
I've never played tennis but I'd love to try 