If you mean a bowl like a glass bowl the size of your head that you keep as a centerpiece, no. Well, you can, maybe, while they're babies, if you have a filter, aerator, and don't mind your fish dying in infancy.
The only fish that can really be kept in bowls are bettas, and even then it's a good idea to have a filter and heater.
Koi were developed to have a broad colourful back so that they look good when viewed from above. They are POND DWELLERS and grow to over 2feet long. To put one in a fish tank would be CRUEL!! To put one in a Bowl would be TORTURE!!!