Not necessarily, like most modules the Remote modules have Range.
If you ever plan on doing that on PvE, do keep in mind that only specific rats, most noticeably the “elite” of them (for instance a DireGurista), will target the drones, and that only happens in more difficult missions (about L3 or L4 missions)
And another thing to note, the smaller they are compared to your ship, the longer it will take to lock onto, yes, that includes friendlies and owned drones, you need to have a friendly target locked in order to heal.