No, according to Cleveland Clinic's study, vaccine adds no benefit to those with natural immunity.
https://www.news-medical.net/amp/news/20210608/No-point-vacc...
https://www.news-medical.net/amp/news/20210608/No-point-vacc...
Since then, there's solid science[1] that hybrid immunity is significantly better than either vaccine-induced or disease-induced. So taking the vaccine is clearly the better choice whether you've been infected or not.