Word for: Someone who has lost, and cannot grow back, their front teeth

No. There is no word in English for such a person. Similarly, Yiddish has a word for the relationship between the mothers of a husband and wife, where there is no such word in English (other than the painful co-mothers-in-law), which I have never heard used. Languages differ so that it is not alway possible to match a word in one language with a corresponding word in another. It is one of the interesting things about languages.