Not true, even if your doctor told you it's true. It's possible your provider will use HIPAA as an excuse, but HIPAA does not prohibit the use of email between doctors and patients.
HIPAA requires only that health information be safeguarded. However, like other aspects of this set of laws, this type of requirement is confusing to a provider, and therefore many will not use email at the risk of being in violation of the HIPAA regulations.

