Question about Cloudflare Stream

I have a E-learning marketplace where anyone can upload courses and start selling the courses, what i want is that the videos that my instructors upload on my website using HTML player automatically get transferred to my cloudflare stram, because even if a single person upload a video directly on my website, it makes my website slow by 2-3 seconds, so i want that as soon as he/she upload a video from his computer directly to my website, the video should be automatically transferred to my Cloudflare stream account and embedded on my website.
Is this possible?