Is it possible for me to go from a 24 min to a sub 20 min 5k in about a year?

I’m 16, about to be 17 and I run xc. Next season will be my senior year and I wanted to know if with a lot of work (I also swim) I will be able to accomplish that? Also, when I ran my pr of 24 mins, I did it with barely any training because I was injured most of the season because it was my first year running, if that helps.
Answers

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Sure, you should be able to do that if you're fit and you train right. Talk to your coach about it, as that's the person who knows your current fitness level and abilities, as well as your current training program so will know what to direct you to focus on to build speed, and how to go about it to minimize risk of injury.