You might need to get creative and it might be achievable.
You can build a script that looks at all client's latency, when a client's latency exceeds a certain value, you can then shut its port down, there might be limitations, such as if the client is on WiFi, you might not want to shut the port down because you would effectively shut down the entire Access Point, but this is why I mentioned being creative.
Here are some APIs to get you started:
https://developer.cisco.com/meraki/api/#!get-network-client-latency-stats
https://developer.cisco.com/meraki/api-v1/?dtid=osoblg000513#!update-device-switch-port
Do let us know if you eventually get around to crafting a script to achieve your goal, it would be very interesting to look at it.
Cheers.