This whole idea is based on a huge assumption that one who has recovered from the virus won’t get infected again, which is not true and there are numerous cases of reinfection found.
Please understand the facts that this virus has already mutated in 50 different strains and you may have antibodies of one strain but not the other. The idea lacks a basic understanding of biology and viruses.
It could’ve been an entertaining novel or a movie plot though, as in a movie or a fictional novel you can play with the possibilities and can have set outcomes.