Is the Quarian Ark under attack by the Reapers?

I'd like it if a Reaper chased the Q-Ark through Dark Space but was just a few steps behind the Ark but eventually caught up and did some damage to the Ark just as shepard destroyed the Reapers. 

Since this Reaper was disconnected from the Reaper-hivemind upon the destruction of the "Star-child AI" it was forced to go into a rebooting sequence for several hundred years making it go into a sleep mode. Being towed by the Q-ark all the way to Andromeda until the Ark drops out of FTL, but the Ark was caught in the continuing momentum of the Reaper, combined with the damage the Reaper did, was thrown into a tailspin until crashing onto an alien planet along with the Reaper.

Fast forward a bit and the crew of the Q-Ark begin waking up to see that they had crashed on an alien planet and the wreckage of a Capital class Reaper. However the Reaper had woken up before they did "reapifying" the local wildlife into ground units and indoctrinated fools who got too close to the Reapers crash site (which is about a fifty miles away from the Ark).

So the Quarian Pathfinder sends a signal out say to stay away since the Reaper is capable of turning anyone who gets too close against them. However those who scouted out the Reaper have begun repairing it with pieces of Remnant tech.


So Ryder decides that they have had enough of waiting and goes to trace where the signal came from. There they discover the Ark under siege by reaper and Indoctrinated forces and the Reapers' body being repaired.

Eventually the Reaper is now able to move and begins marching towards the Ark intent on getting at the cryo pods to make an army and continue the cycle.

So Ryder and Co destroy the Reaper but before it dies it tells Ryder and the crew everything they want to know about what had happened to the Milky Way during the attack; The decimation of Earth, the fall of Thessia, the genophage cure, the peace between Quarians and Geth, and the destruction of the "Star-Child" AI killing all of the Reapers.