No. Build-A-Bearville shut down permanently on March 31, 2017. Servers are offline; the website redirects to Build-A-Bear Workshop's retail site.
Why It Closed
Declining user base; shift to mobile apps.
Flash Player deprecation (game ran on Flash).
Cost of moderation & servers vs. revenue.
Unofficial Revivals (Use Caution)
Bearville Reborn / Build-A-Bearville Rewritten: Fan servers using reverse-engineered code. Not affiliated with Build-A-Bear; may have malware, data risks, or legal issues.
Flashpoint Archive: Preserves playable offline version (single-player only, no saves).
Similar Active Games
Animal Jam (WildWorks) — closest vibe.
Club Penguin Rewritten / Legacy — fan servers.
Roblox — many "adopt me" / roleplay worlds.
Minecraft + Build-A-Bear skin/resource packs.
Official return unlikely; enjoy spiritual successors instead.