I dont think my last question was understood. what i asked was is it possible to get covid immediately after recovering from it? like you get better & then a couple days later youre sick again? im not saying i am sick. im just asking?

It's very unlikely especially the infected person was symptomatic with the Covid-19 infection. I believe in natural immunity (immunity from infection) in Covid-19 infection than vaccine immunity unless the person is immunocompromised then both infection or vaccine could not mount an immune response.

It is possible to have another infection, but it is not usual in the time period that you have described. Natural immunity has been documented 6 months after the initial infection.