Yes, in certain locations.
CCEO Canon 28 gives rite as liturgical, theological, spiritual and disciplinary heritage expressed as a manner of living the faith.
From reading various canons (CIC and CCEO, Orientalium Ecclesiarum) and Vatican statements about the Oriental Churches, the rite is part of a person. The idea is that a person’s religious formation is usually of their parents, guardians, or spouses rite, which will be of the Christian tradition that is in that territory (from original missionary activity) or of the country of origin (for immigrants).
They may become a member of a particular Church sui iurus through infant or adult baptism, or through marriage, or through conversion, or less frequently, by request approved by the Holy See. Requests have been denied. The Holy See may approve transfer of ritual church for the good of an individual, community, or region. I have not researched examples for this yet.
So some Chinese in the far North, may be Orthodox (Russian), and they could have transferred to an Eastern Catholic Church. In Japan and Phillipines I think there are mostly Roman Catholic (Latin) churches. Where there are immigrants from the original Eastern territories, there may be Eastern Catholics.