No, commercial licenses never expire. But, you are running Snow Leopard on your machine, which requires a different WIBU key driver than was shipped (years ago) with 11.
Quit AC, unplug the key, download and find and install the correct new driver here:
http://www.graphisoft.com/support/archicad/downloads/WIBU.html
Cheers,
Karl
One of the forum moderators
AC 27 USA and earlier • macOS Ventura 13.6.6, MacBook Pro M2 Max 12CPU/30GPU cores, 32GB