No, the corpus luteum secretes the hormone relaxin. Relaxin is a
hormone produced during pregnancy and helps with tissue growth
during reproduction.
The corpus albicans is a mass of tissue which is formed when the
corpus luteum is broken down, which occurs when fertilisation of
the egg does not occur (and therefore the woman does not become
pregnant).
Because the corpus albicans is therefore not present if a woman
becomes pregnant, and the hormone relaxin is only produced during
pregnancy, the corpus albicans will not secrete relaxin.