Suffering is universal. Pain is individual.
We all suffer. It is a generic term for feeling pain and enduring hardship. It is universal in that it exists.
Pain, on the other hand, is specific and different to each person that experiences it.
If a push the tines of a fork into my forearm, I will feel pain from it and the pain I feel will likely be interpreted differently than if you were to do the same thing to your arm. It is this that establishes pain as an individual experience.
Suffering is different. In the same scenario, we both feel discomfort from the tines being pushed against our skin. The discomfort we feel is suffering.
Both of these, suffering and pain, are choices. It is possible to get our minds into a place where we separate our thoughts from the physical experience of the fork being pushed into the arm, whereby we would feel no discomfort and no pain. It is a choice we can make on both accounts.
It is my belief, however, that each and everyone of us is subject to feeling discomfort at some point and subsequently will experience suffering in our lives. As for the pain, that is entirely up to all of us as individuals. For some pain may be excruciating. For others, what I would consider pain might be experienced as pleasure. Therefore, the pain in this world is not universal.