No, but wind, rain and passing aircraft can. So can interference from other nearby intermittently-operated transmitters.
As tmm1 noted: You can go to my.hdhomerun.com -> HDHomeRun CONNECT ... -> Tuner Status -> Tuner N, where "N" is the tuner number, and see signal strength and quality, and symbol quality.
There is also an app for MS-Windows and Linux systems: HDHomeRun Config GUI, that will allow you to watch them, dynamically, in real time, and apps for Android and iOS devices.
Have you done a speed test to the streaming device? From a web browser go to n.n.n.n:57000/speedtest, where "n.n.n.n" is the IP address of the streaming device. Do this while the problem is occurring.
Have you tried the native HDHomeRun app when this is happening?