No. A sprint represents a list of things you have committed to doing for your product owners and users. Those are stories (albeit there's plenty of space for calling them different things)
A sub-task is a part of a story. It is not something you commit to in itself because it's irrelevant outside its own story. So sub-tasks go into sprints only as part of the whole story you committed to.
If you genuinely have sub-tasks that need to go into sprints separately from their stories, then they have been defined at the wrong level, and you're not breaking down their parent story well enough. They should be stories in themselves, so promote them to the story level, and think about converting their original parent story to an epic to contain them all.
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