You can do this, but how smoothly it goes depends on what’s left of old hard drive or if you kept an Export.
Without either the old databases (often in C:\Users\<you>\AppData\Local\Duplicati) or Export to file, backup configuration is lost, and you have to enter it again from memory and from looking at Restore files.
Instead of doing a Direct restore from backup files which makes a one-time-use database, continuing with existing backup is more easily done by roughing out a backup job, or doing an import if you have an export.
Database screen Repair button will (maybe slowly, and keep an eye on progress bar if it gets slow) make local database from destination files. You can then do a regular Restore. Use a different location if you like manual moving of files into suitable locations in your new install. This can get trickier with apps or OS files.
Seeing what you backed up can help you fine-tune the Source settings, if you had to guess at them initially.
If you still have the old databases, this gets a lot easier. You can just move them and use them on new PC.