No. Fabric uses Mixins to inject hooks into MC while Forge uses bin patches that are applied at install time. Fabric also encourages its mods to use a Mixin based approach, while Forge uses its own hooks and encourages mods to use the event system.
Potentially, however MCP is deeply ingrained into Forge, Forge’s patches and Forges toolchain, so transitioning from MCP to Yarn would be difficult.