No. The official developer did not release a specific "unblocked edition." However, because the original game is lightweight (built in Unity), it runs easily in any web browser. Many fan sites downloaded the game files and re-uploaded them to unblocked game archives like:
Remember those low-res educational CD-ROMs from the ’90s? Baldi’s Basics turns that look into a deliberately broken classroom nightmare—equal parts satire and jump-scare fun. The unblocked versions make it easy to try during breaks, but play responsibly. Baldi 39-s Basics In Education And Learning Unblocked
While playing games on school or work networks is a common pastime, there are risks involved with "unblocked" game sites: Baldi 39-s Basics In Education And Learning Unblocked