From the hardware point of view, it is possible to implement the task you describe on i.MX6 series processors, since they support IEEE 1588 timestamping feature in hardware, provide a number of digital audio interfaces and enough computing performance.
Regarding the software, no special audio processing applications are provided. The AVB stack software exists, but it is not for free, please contact the NXP Professional Services for more details:
http://www.nxp.com/support/nxp-professional-services:PROFESSIONAL-SERVICE
Have a great day,
Artur
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