No, there are no plans right now to support such a feature.
I already thought about it and came out with a nicer solution.
Since v0.0.6, Burp-UI supports Gunicorn. When using Burp-UI in a production environment, using Gunicorn is the recommended behavior.
The following piece of documentation might be useful.
It is possible to launch burp-ui in backrground in debian with the ini.d script.
Source : Burp-users mailing list - 25/05/2015 - Author : Daniel Frank
"Try adding "--background" to the options in the do_start function."
"start-stop-daemon --start --quiet --pidfile $PIDFILE --make-pidfile --background --exec $DAEMON -- || return 2"
I have try and it's right. Can you modify the init.d debian script.