You cannot get the name of the variable that points to your object (okay, you can, but see below).
This is a bit like a regular street address: if you have a mail envelope (variable) you can see to what address it points to, but how would you be able to find all envelopes that point to the same address? You would need to gather all envelopes and scan them all or add some kind of tracking.
In Objective-C, there is a way of walking all instance variables of an object and check whether they point to your object. But this is very low level and a total anti-pattern. Also, you'd need to know the objects whose instance variables you'd like to enumerate.
So answer is: even though it's possible in Objective-C to a certain degree, don't do it. Change your design instead to not rely on this information.