Is it possible to pray without a prayer rug?

It would have been a more realistic question if you had asked this question, "Is it acceptable if we perform the prayer on the prayer mat?" The Companions of the Prophet, who were the first generation to pray, prayed on soil and gravel. They did not know carpets and prayer rugs. May Allah bless them. In other words, the essence of prayer is to be performed on bare ground. The first generation did. Performing it on a prayer rug is something that the fuqaha do not see objectionable. It can be performed on a prayer rug or something similar, provided that it is clean. We can also recommend the following: The simpler the prayer rugs, the better it will not be distracting in prayer. Let's know this as well.