Is opening the Qur’an randomly when in distress, and believing that the opened verse or surah is a message from Allah, considered forbidden?

The ruling on opening the Mus'haf for augury has been previously explained in Fatwa no. 46037. Engaging in recitation (of the Quran) and remembrance (dhikr) are among the most powerful means to expand one's chest and relieve distress. You should also supplicate with the narrated prayers for protection, avoid sins, accompany pious women, and maintain communication with them.