The day of their wrath refers to the time when they would punish wicked people. Alternate translation: "this is the terrible time when they will punish people" (See: [[rc://en/ta/man/translate/figs-metonymy]])
Surviving, or staying alive, is spoken of as standing. This question is used to express their great sadness and fear that no one will be able to survive when God punishes them. Alternate translation: "No one can survive" (See: [[rc://en/ta/man/translate/figs-metonymy]] and [[rc://en/ta/man/translate/figs-rquestion]])