>>54181028
Not exactly. Saxfag here. If you started on sax, it is going to be difficult to learn clarinet, as it plays differently than a sax does, and requires a little more control of your mouth. I tried learning it, but I could never get the hang of it. I should really revist it someday though, as it is kinda cool.
>>54181312
This is mildly true, to a certain extent. flute and sax finger the same I believe, but clarinet vs sax have a few slight differences.
However OP, don't let that discourage you because it won't be a walk in the park, but since you have music chops you'll be at a better place than a freshman in high school or something. If you keep at it and keep trying, it'll come to you. The transition from sax -> Clarinet is harder than the other way around, but by no means is it impossible. Just pick up a clarinet, dedicate 10 - 15 minutes to long tones another 15 minutes towards skill work and you'll be well on your way.
Good luck!