On the evidence, no, although traditional beliefs among the
Falasha Jews is that they are from the tribe of Dan.
A 1999 study of the DNA of 38 unrelated Beta Israel (Falasha
Jew) males living in Israel and 104 Ethiopians living in regions
located north of Addis Ababa demonstrated that the male ancestry of
Falasha Jews was from Ethiopia, not Palestine.
A 2002 study of Mitochondrial DNA (which is passed through only
maternal lineage to both men and women) showed that the most common
mtDNA type found among the Ethiopian Falasha sample was present
only in Somalia. Thus the female ancestry of Falasha Jews was also
not from Palestine.
The ancestors of Falasha Jews were converts to the religion.