Not anymore than Hanfu being considered a part of traditional Korean or Japanese clothing.
The thing is that the modern Hanfu movement is pretty much tied to Han nationalist movement. This really discourages Vietnamese from including Hanfu as a whole as a part of Việt Phục movement. Furthermore, as the name implies, Hanfu is basically Han people's clothing. While Vietnamese did consider themselves “Han” with the archaic meaning of “civilized" during the Nguyễn dynasty, the modern Vietnamese certainly don't do so now that “Han" has been tied to the modern definition of ethnic group. And most Vietnamese people dislike the Nguyễn dynasty anyway for losing to the French.
Not that Vietnamese don't occasionally wear products of the Hanfu movement, but Vietnamese wear them not as their own traditional clothes but as interesting clothes from a different culture, in the same way they wear Wafuku and Hanbok.
That said, while Hanfu as a whole isn't considered Vietnamese traditional clothing, some specific designs such as áo giao lĩnh, áo viên lĩnh, áo đối khâm, thường, etc. are included in the Việt Phục movement because the ancient Vietnamese did wear them, usually with some changes in the designs from the original Hanfu versions (i.e áo đối khâm 對襟 became áo nhật bình).
A reconstructed Ming-style beizi, a type of 對襟. Source is File:Beizi 1.jpg .
Áo Nhật Bình as worn by Nam Phương empress, the last empress of Vietnam.
A reconstructed áo nhật bình in the movie Phượng Khấu.
Essentially, Hanfu as a whole isn't considered a part of Vietnamese traditional clothing because of 1) modern politics, 2) not all Hanfu designs were used by the Vietnamese in the past, 3), the designs were changed by the Vietnamese, and 4) not all Hanfu designs were used by the Vietnamese in the past.