No. Screenpresso licenses are per-user, not per-computer. The software checks for concurrent usage. If two people use the same key from different IPs, the license gets blocked.
Many users search for a Screenpresso free activation key fixed online, but often encounter fake or expired keys. These keys may not work or may lead to malware infections. Moreover, using a fake or pirated activation key can result in: screenpresso free activation key fixed