Technically speaking, the answer to this is yes. It is possible to work out without using these grips. However, hand grips for CrossFit provide you with greater benefits and it is something that is strongly recommended. Most CrossFit centers around the world would not allow you to work out without using these grips because by not using the grips, you would be putting yourself as well as others at a major risk.
There are some old-school gymnasts who put forward the argument that grips are not as good as a natural hold and that they are not comfortable using them. However ‘old school’ is exactly what they are and in today’s day and age, we strongly recommend the use of hand grips. These grips help you protect your hands as well as keep people around you safe.