Perhaps.
Do a quick search on Ebola lawsuits, SARS lawsuits:
https://duckduckgo.com/?t=ffsb&q=law+suits+over+ebola&atb=v72-1&ia=web
What's past is prologue...wait until the "you got me sick and then I gave it to my Grandmother who died" lawsuits. The Cruise Industry is also in a panic. There are at least 25 ships doing circles waiting to find a port.
The company I own has already discussed this with our lawyer. We do not worry about our employees, btw, but the randoms...