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
AC 28 USA and earlier • macOS Sequoia 15.3, MacBook Pro M2 Max 12CPU/30GPU cores, 32GB
One of the forum moderators