Yes, you can download any release and use your active license. You can select and download a release here: https://nl.mathworks.com/downloads/web_downloads/select_release?mode=gwylf
For your interest, you can install and use different MATLAB versions side by side on one computer. You can for example install R2015b and install R2020b as well.
If your license would be expired (by not paying the yearly subscription and service) you are limited to the latest release you had access to I believe.