Sure it's alright! Might be something to build on!
I wrote a story last night about me going in the past in the year 1991 and seeing myself as a little girl on a swing. It's only 4 pages but is that alright?
Why not? I wrote papers about how i felt when i was a kid about things going on in the world.
Why wouldn't it be? If it's not true, then subject it to literary liberty.
Of course it's OK. It's your story, it can be as long as you like. Most of us probably started out like you. Good luck.