Right now, no, the printers do not support HTTPS for the internal website. As this webserver is embedded in the firmware (not open source), it is unlikely that others will be able to provide a solution. The recommendation is to turn it off and use more secure and robust methods of communicating with the printer.
Command to turn off the webserver:
! U1 setvar "ip.http.enable" "off"
followed by a carriage return.
Many of the newer Zebra printers support much more secure communication methods.