No, it is not correct to say that the Higgs particle is the graviton. The Higgs particle and the graviton are distinct entities with different roles in fundamental physics.
The Higgs particle is associated with the Higgs field, which is a quantum field proposed in the Standard Model of particle physics. The Higgs field interacts with certain elementary particles known as fermions (such as electrons and quarks) and endows them with mass. The interaction between fermions and the Higgs field is what gives rise to the observed masses of these particles. However, the Higgs particle itself is not directly related to gravity.
On the other hand, the graviton is a hypothetical particle that is believed to be the carrier of the gravitational force in certain theories of quantum gravity, such as string theory. The graviton is thought to be a massless particle that mediates the interactions between massive objects, leading to the force of gravity. However, the existence of the graviton and a complete theory of quantum gravity are still areas of active research and have not been confirmed experimentally.
So, while the Higgs particle is associated with the Higgs field and the origin of mass, and mass is related to gravity, it does not imply that the Higgs particle is the graviton. They are distinct particles with different roles in fundamental physics.