No physical access was needed. None!
The Winvote system is notorious for having almost every problem imaginable, all in one system. Everyone really needs to read this entire article to see just how horrible voting systems can be. While other systems might look "less bad" by comparison, that does not mean they should be trusted either.
https://www.wired.com/2015/08/virginia-finally-drops-americas-worst-voting-machines
Although communication between the machines was encrypted, the wireless protocol they used was the notoriously insecure WEP. The FBI had demonstrated in 2005 that it could crack a 128-bit WEP key in about three minutes. But an attacker wouldn't have needed even this much time to attack Virginia's voting machines. By capturing and analyzing just two minutes of wireless traffic between two machines, investigators were able to crack the encryption key. The key turned out to be "abcde."
What's more, investigators found that even when they clicked a button to disable the wireless function in an attempt to close them off from remote attack, the devices network card was still able to send and receive traffic. Once the encryption key was cracked, an attacker could have joined the wireless network to record voting data as it crossed the network, inject malicious data into the stream, or connect to voting machines to subvert them and an election. How so?
Please read the entire article.