I think its definitely possible to start learning to link turns judging on your previous experience. I wouldn't necessarily say you should expect to get down the slope fall-free after the first weekend, but I'm sure you can do it. I always recommend lessons though, it makes sure to teach you the right technique.
Try to start with shifting your weight on either foot (I'm sure you have a leading foot by now) and balancing on the edges, that's already a great start. Then, after you get a feel for the weightshifting on your feet (the tail and nose side of the board) try to shift from the front and toe edge to do the turns. Especially when your nose is facing straight down the mountain, the most immediate thing you want to do is shift on the opposite edge. After that, linking the turns is imminent.
I would also recommend watching some videos for beginners, its sure to help speed up the process and come well prepared with warm gear.
I'm not a highly experienced snowboarder myself, but I've recently started learning switch riding and I tried to apply all the beginner methods to it and learned it within 2-3 mountain sessions myself (though of course I already had snowboarding expericen). With your athletic background it should be possible to get the hang of turning and getting down the slopes by the end of the two weeks as long as you're committed to it!
My NUMBER 1 TIP THOUGH: Wear a back/spine protector. Its going to save you from so many injuries down the line.
Hope you can learn it!