Not true. Hydrogen, Helium, and some small amounts of Lithium would have come into existence around 3 minutes after the Singularity. That time period is not part of "The Big Bang." In fact, in terms of the Physics involved that time period is much, much, longer than the subsequent 13½ billion years.
Even so, the likelihood that your body (or any part of the visible universe) actually contains any hydrogen from just after the first three minutes is highly unlikely. The universe was so hot at that point that their were constant particle annihilations going on, and all of those atoms long ago got converted into radiation, back into atoms, and back into radiation many times until ~370,000 years after the Singularity.
And -- that's when God said, "Let there be light."