Nope! I'm afraid that's irrelevant to this "Return to Sender" achievement.
But instead, it is related indeed to the "No-Clip" achiev. To get this - you gotta keep shoving those Ender Pearls repeatedly into Ender-Gal's bum-hole (since yes, the random chance can be from the 1st to 5th time), until it yeets you both to the Backroom.
To get that "RtS" badge tho, you just need to f*ck Endy' (while she's in that Parcel Box) and make her cum/teleport until you both find yourself in the Parcel Warehouse.