"In 3252, a hidden asteroid base is found in Alioth (again, we can look!), and a vaccine to the Mycoid virus is stolen. Obviously, this is big news across the Galaxy. The vaccine is delivered to the Thargoids by a private party. This leads to a peace treaty declared by the Alliance with the Thargoids. Get this... The aliens give a warship to the Alliance, and in 3253 the first Thargoid ship is piloted by a human. Wait, the Alliance hasn't gotten any ships yet, right? Hmmm... By 3255, complete relations between the Thargoids and humans proliferate through space, and both species begin to share technological and cultural ideas." - https://www.reddit.com/r/EliteDangerous/comments/3567o3/wait_a_minute_humans_and_thargoids_are_amicable/
So, yes - it's entirely possible Alliance could have hybrid ships*; the only problem there, is that they'd have been blown to bits by the Empire, Federation AND Independent Systems who would've wanted to get their mitts on the tech. Then again, FD could just introduce hybrid ships and be like "nah, they were always there; we just weren't ready to introduce 'em." But we'll have to wait and see how they expand the lore here.
*
Great looking ship. R+ for posting it and the lore