Seems like yes, but not because it mutates, it's just that the immune response can be weak. Probably more of a risk for people with weak immune systems to start with.
Everything I've read suggests that Coronaviruses are more stable, genetically speaking, than the flu.
> Coronavirus non-structural proteins provide extra fidelity to replication, because they confer a proofreading function, which is lacking in RNA-dependent RNA polymerase enzymes alone
AFAIK that's still to be determined due to the number of false positives/true negatives with the testing. Same with the incubation period.
Edit - on the more worrying side of things this article (https://www.straitstimes.com/asia/east-asia/14-of-recovered-...) was released today saying 14% of recovered patients Guangdong tested positive for the the virus. One of the more annoying things during this is that I have no idea which sources are awful tabloids and which are trustworthy like I do in the anglosphere.
Or are we expecting it to mutate similar to cold n flu viruse?