Yes. I did a test last year to check for antibodies generated through the vaccine and antibodies generated through an infection.
Vaccine was positive, infection negative.
“In participants that had COVID-19 and were tested one week after symptoms developed, antibody tests detected only 27% to 41% of infections. In week 2 after first symptoms, 64% to 79% of infections were detected, rising to 78% to 88% in week 3. Tests that specifically detected IgG or IgM antibodies were the most accurate and, when testing people from 21 days after first symptoms, they detected 93% of people with COVID-19. Tests gave false positive results for 1% of those without COVID-19.”
“In participants that had COVID-19 and were tested one week after symptoms developed, antibody tests detected only 27% to 41% of infections. In week 2 after first symptoms, 64% to 79% of infections were detected, rising to 78% to 88% in week 3. Tests that specifically detected IgG or IgM antibodies were the most accurate and, when testing people from 21 days after first symptoms, they detected 93% of people with COVID-19. Tests gave false positive results for 1% of those without COVID-19.”
https://www.cochrane.org/CD013652/INFECTN_what-diagnostic-ac...