In Rishi Patanjali's Yoga Sutras (a treatise explaining siddhis or super normal powers), the sage describes dozens of siddhis including the ability to disappear from view, appear in two places at one time, travel to the sun or moon, levitate, know the past or future, become as small as a particle of sand, possess the strength of an elephant, restore life to a dead person, see things at great distances, know the thoughts of others, extend the normal span of life indefinitely, gain mastery over the 5 elements, attain omnipresence, omnipotence, and omniscience... There are dozens of siddhi abilities, but I suspect that few yogis possess these abilities today. There are accounts of miraculous feats performed by yogis, some of which have been carefully documented.
Trailanga Swami is reported to have lived 280 years. He was often seen floating on the Ganges naked. His peculiar habits bothered the British authorities and so they locked him in a Varanasi jail cell, however the following morning he was found sitting on the roof of the jailhouse. The Brits locked him up again, but again he was seen sitting naked on the roof the following day. These accounts are said to have been recorded in police journals. In an effort to expose Trailanga a skeptic offered the yogi poison. Trailanga drank the entire bucket-full while the skeptic writhed on the ground in pain after which the yogi explained the laws of karma to the crowd.
In the early 60's, Maharishi spent a lot of time in LA where he first taught meditation to Americans. He was lecturing one afternoon in Santa Monica when a long-time student of his passed in a hospital in a distant part of the city. According to the hospital's log, Maharishi had signed into the hospital at 2:00 and was with the woman at the time of her passing. However, he was also giving a lecture at that time at a house 50 minutes from the hospital.
One can draw one's own conclusions, but if these abilities are real then they support the idea that reality is indeed very flexible.