No
Trichologist are not honoured as doctors. One does not need to be a doctor to become a trichologist and most trichologist are not doctors. A trichologist is a paramedical professional that manage patients with scalp and hair related conditions.
Many trichology courses are far different from the intensive clinical training of a medical school.
A trichologist is a specialist in the hair and scalp. A dermatologist is a medical doctor who has specialized in skin care. Not just the scalp and hair but the skin all over the body.
However, it is possible for a medical doctor to take courses within the field of trichology. There are few medical practitioners who have been certified as trichologists.
Hope this helps.