Is it permissible to supplicate using Allah's Greatest Name (Ism al-A'dham) and His Most Beautiful Names (Asma al-Husna) for matters of this worldly life?

There is no harm in a servant supplicating to his Lord with His Beautiful Names and with His Greatest Name for whatever good he desires in this world. This is based on the Prophet's (peace be upon him) saying: "Let each of you ask his Lord for all his needs, even for the shoelace of his sandal if it breaks."