No. Even if wireshark listened to the entire key-exchange, it would not be able to reconstruct the key, that's the whole point of a key exchange. The client generates some secret part, the server generates some secret part, they both do math to their secret parts to get some stuff they can exchange safely. After they've exchanged the stuff, both can combine the public stuff with their own secret parts to generate the same key. If you just saw the public stuff exchanged in between, but didn't have access to one of the secret parts, you couldn't (feasibly) reconstruct the key.
As for acting as a MITM, Wireshark would have the same problem as anybody else in between the server and client: it doesn't have a valid certificate. Chrome would throw up a big scary warning and make it almost impossible to use the site.