Unfortunately no. 2FAS Authenticator Application works offline, and codes are stored locally (only on your device).
However, if you’ve turned 2FAS Backup Synchronization on (iCloud or Google Drive – depending on your phone’s OS), you can quickly restore all your codes. Simply turn the synchronization option back on, and all your codes will reappear in the app! Important: you have to use the same Google/Apple account when connecting to Google Drive/iCloud!
You can read more here: https://support.2fas.com/2fas-mobile-app/i-have-lost-all-of-my-tokens-codes/