Is it possible to have a period with no cramping?

Yes. But most of us don't have that kind of luck. For everybody else, i suggest an NSAID such as Ibuprofen or naproxen, started at prescription strength doses 1-2 days before you expect the cramps. They work much better if they are in your system when the problem begins, instead of waiting for the cramps to get bad & playing catch-up.
Period no cramps. Yes of course periods are physiological occurence and happens to all females starting puberty and majority do not get cramps and do not need anything during the periods.