Very much yes.
Here is a link to my last game, where I essentially did just that with two units of Fire Dragons and a unit of 5 Dark Eldar Warriors serving as ablative wounds for my Autarch:
https://www.youtube.com/watch?v=nPT0swwNl5o
You can do this because the Falcons have a transport capacity, but are not Dedicated Transports. That allows you to put anything (that fits) into them during deployment (Battle Brothers, of course), and then use their Deep Strike rule.