UPDATE 2: This information is no more given by facebook. There is an official announcement for the behavior change (https://developers.facebook.com/blog/post/2018/04/19/facebook-login-changes-address-abuse/) but none for its alternative.
Yes, Just use this link and append your ID to the id parameter:
https://facebook.com/profile.php?id=<UID>
So for example:
https://facebook.com/profile.php?id=4
Will redirect you automatically to https://www.facebook.com/zuck Which is Mark Zuckerberg’s profile.
If you want to do this for all your ids, then you can do it using a loop.
If you’d like, I can provide you with a snippet.
UPDATE: Alternatively, You can also do this:
https://facebook.com/<UID>
So that would be: https://facebook.com/4 which would automatically redirect to Zuck!