Not as long as you call it drones.
Drones are a modern development and term. They do not fit the main theme of a future imagined by a 1950s person and then nuked to hell.
Now you might be tempted to call it semantics, but I'd call it cultural background of the Fallout games and a large part of what gives the games their own identity.
Additionally Eyebots, as mentioned by others, are pretty much fitting what you want. After all Ed-E was, at the beginning of Fallout NV when the Courier finds it, meant to be a courier itself.
So, in the theme of Fallout, name it a robot or a bot - but don't use modern terms like drones. My 2 cents.