No, Dwarves are Dwarves.
According to the Simarillion, they were made by the Vala Aulë and later given free will by Ilúvatar(God).
Tbh I understand it not being all that clear, especially since afaik there is not explanation where Hobbits come from.
Afaik Hobbits are men.
Hobbits on the other hand were in nearly all respects normal Men, but of very short stature. They were called ‘halflings’; but this refers to the normal height of men of Númenórean descent and of the Eldar (especially those of Noldorin descent), which appears to have been about seven of our feet. Their height at the periods concerned was usually more than three feet for men, though very few ever exceeded three foot six; women seldom exceeded three feet.
The People of Middle-earth
That is basically the story of LOTR already