Yes. Please retrieve the following configuration file from your backup:
Little Snitch 6
/Library/Application Support/Objective Development/Little Snitch/configuration6.xpl
Little Snitch 5
/Library/Application Support/Objective Development/Little Snitch/configuration5.xpl
Little Snitch 4
/Library/Application Support/Objective Development/Little Snitch/configuration.xpl
You can then restore your rules from that file via Little Snitch > File > Restore from Backup (in case of Little Snitch 4: Little Snitch Configuration > File > Restore from Backup).
Note that this file is encrypted with the "Little Snitch Encryption Key" from the System keychain of the Mac where it was created. If you restore on the same Mac, Restore from Backup reads the file without further steps. If the file comes from a different Mac or from an earlier installation of macOS, the key in your current keychain differs. Don't replace the key in your keychain. Instead, look up the old key, for example in the Keychain Access app on the old Mac or in a backup of its System keychain. Then restore from the command line and pass the old key with the -p option:
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Backups made via the _Create Backup..._ menu item in the app are not encrypted
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backup import
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