The energy given off during the Big Bang is hard to visualize, especially since it is unsure if the Big Bang is even actually how the universe began.  However, an estimate can be produced using Einstein's famous equation, E=mc².  That is, the energy required to create the mass of the universe is equal to that mass times the speed of light squared.

To begin this, m needs to be established.  The mass of the universe is nearly impossible to calculate as it spans infinite dimensions, that is the universe is everything in existance and if one were to leave earth and travel at any speed in one direction that person would never reach the end of the universe.  However, it is estimated that there are between 10²² and 10²⁴ stars in the universe.  The sun is a good example of the average size of a star at, rounded up for simplicity, 2×10³⁰ kg.  So, the total mass in the universe is:
                m = 10²⁴•2•10³⁰ kg
                    = 2•10⁵⁴ kg

Using 3•10⁸ m/s for the speed of light, c, the energy given off during the big bang is approximately
                E = 2•10⁵⁴ kg • (3•10⁸ m/s)²

                   = 1.8•10⁷¹ J

This figure, however, only accounts for visible, or normal, matter which is estimated to be only 5% of the matter or energy in the universe (70% is made of dark energy and 25% is dark matter).  To compensate for the dark matter, the estimate must be multiplied by 6 to encompass all of the matter, normal or dark, in the universe.  Doing so brings the final answer

               Etotal = 6•1.8•10⁷¹ J
                     = 1.08•10⁷² J

So, to make sense of the original claim, the energy in one roundhouse kick from Chuck Norris is about 1.08•10⁷² J.