No.
"Tathagata" means "Buddha", and "Tathagata" and "Buddha" actually mean the same thing.
The actual meaning of Tathagata is: to achieve enlightenment by taking the path of truth. "Ru" in the Buddhist scriptures refers to the absolute truth, Tathagata, which means that the Buddha is a saint who masters the absolute truth and comes to the world to preach to save all living beings. For example, calling him Sakyamuni Buddha or Sakyamuni Tathagata is the same. But it would be wrong to call Sakyamuni Tathagata Buddha. Because Tathagata and Buddha are both general terms for all Buddhas, it does not mean that it is a certain Buddha, just like calling a person Mr. Sir does not mean that he is a certain person.
Dharma, whose full name is Bodhidharma, is from South India, a Brahmin caste, and claims to be the 28th ancestor of Zen Buddhism. The ancestor of Chinese Zen Buddhism, so Chinese Zen Buddhism is also called Bodhidharma Sect. During the reign of Emperor Liang Wu of the Southern Dynasty, he sailed to Guangzhou. Emperor Wu of Liang believed in Buddhism. Bodhidharma went to Jianye, the capital of the Southern Dynasties, to meet with Emperor Wu of Liang, but the interview did not agree, so he crossed the river with a reed and went north to Luoyang, the capital of the Northern Wei Dynasty. He then went to the Shaolin Temple in Xisong Mountain, where he stayed for nine years and passed on the mantle to Huike. Later he left Yumen and spent his whole life traveling. He died in Luobin in the third year of Tianping in the Eastern Wei Dynasty (536 AD) and was buried in Xiong'er Mountain. Patriarch Bodhidharma was the first person to officially spread one of the teachings of the Buddha (which means Buddha) - the unique Zen Buddhism - to China.