ArcFM 10.2.1b is not supported with ArcGIS 10.2.2. Here is the supported versions page for ArcFM 10.2.1: GIS - Supported Versions - 10.2.1a - 10.2.1c ArcFM Desktop, Designer, Designer Express, Network Adapter, Fiber Manager, Conduit Manager, License Manager, and Object Reader for Desktop. There is also a page explaining support for ArcFM and ArcGIS 10.2.1 here: FAQ: Our Support for Esri's Utility and Telecom Release of ArcGIS for Desktop.
ArcFM 10.2.1b is fully supported with ArcGIS Server 10.2.2 but not ArcGIS Desktop. Now with that said, ArcGIS Desktop 10.2.x releases should work with 10.2.1b; however, no formal testing/verification exists at this point. If a critical piece of functionality is made available or fixed in 10.2.x, which your team requires, we suggest giving it a try. Since it has not been formally certified, additional testing and verification of results on your teams side would be recommended.
To find the official supported versions for 10.2.1b please see the following link
On the resulting page please select the supported versions document for the product you want to install (Desktop, Server, Geodatabase Manager, etc.) to ensure compatibility.
Hopefully this answers your question.