
Traditionally, no.
The Chinese martial art, taijiquan, was traditionally taught in-house to family only. There was no defined grading system, exams, or the coloured belts found in other later martial arts. Competence was a combination of skill (gong) and technique (fa) and individuals who excelled were formally recognised as lineage holders of the family style.
Over hundreds of years, variations in taijiquan, the forerunner of tai chi, developed within family lines from the Chen style to include the Yang, Wu and (Wu) Hao styles. To which was added the Sun style, a combination of the three internal Chinese boxing styles including Hao style taijiquan, in the early 20th century. Styles now referred to as the orthodox styles.
In later years, it became more common for a serious student who had been referred from a respected practitioner, to live with an instructor and pay or work for their instruction. And increasingly, taijiquan instructors would teach a simplified version of the art as self-defence to a group of students as a source of income.
However, both Chen Family and Yang Family styles today have grading systems to encourage practitioners in their understanding and appreciation of the art. As does Chinese Wushu, a standardised compilation of various Chinese martial arts, practiced in both forms and combat.

Wushu is the Chinese term for martial arts (武 “wu” = military or martial, 术 “shu” = art).