Is it permissible to frequently supplicate for marriage, its facilitation, and its hastening?

Marriage is a good deed that should be hastened, and supplicating for its expedition is good. Exerting the means is Islamically required. You can seek help from friends, or offer yourself to someone you desire as a husband, while observing the Shariah guidelines. Likewise, it is permissible for your guardian to offer you to someone who wishes to be your husband.