No. Xbox 360 only plays DVDs, CDs, and HD DVDs (via discontinued add-on drive). Blu-ray support arrived with Xbox One (2013) and continues on Series X|S.
The HD DVD add-on drive (released 2006, discontinued 2008) was Microsoft's bet on the wrong format. Blu-ray won. If you need Blu-ray on Xbox, you need an Xbox One or newer.