“I am the first who understood and explained the Gravitation with high speed gravitons v = 1.001762 × 1017 m/s, with Negative Momentum, Negative Mass and Negative Energy” Adrian Ferent
Primordial gravitational waves were supposed to be created when the universe was 10-43 second old. In comparison, primordial neutrinos started free streaming when the universe was 1 second old, and primordial photons of CMBR started free streaming when the universe was 100,000 years old. Therefore, (in principle) the problem of the creation of primordial gravitational waves has to be addressed by a quantum theory. But unfortunately we do not know the exact theory of quantum gravity. There was a lot of excitement recently, when a pattern of polarization was detected in anisotropy of CMBR as then it was thought that the cause was of a primordial origin. In practice this was not the case; and later it was reinterpreted to be an effect related to interstellar dust.
Answer is No, but gravity wave can be explained by Schrodinger like quantum gravity equation discussed in following article. Formula 68 can generate many many graviton like particles. One example is given in Table 5, data no. 27.