Not with the current state of the code.
I am working on a general-purpose plugin framework for Mumble (https://github.com/mumble-voip/mumble/pull/3743) though that will allow this kind of effect to be added as the audio streams are exposed to plugins (which can therefore mess with it).
In fact this is already done by the ACRE2 Mod for Arma 3. They have a branch including a Mumble plugin using this new system at https://github.com/IDI-Systems/acre2. Another early adapter of the plugin framework is fgcom: https://github.com/hbeni/fgcom-mumble