From Longman Dictionary of Contemporary Englishunder your own steamunder your own steamINDEPENDENT COUNTRY OR ORGANIZATIONif you go somewhere under your own steam, you get there without help from anyone else I’ll get to the restaurant under my own steam. → steam
Examples from the Corpus
under your own steam• He would prefer an assistant who was prepared to be directed, not one who would dash away under their own steam.• We need to know whether Paul got to the Cathedral under his own steam and at what time.• He left unexplained why, if that was his view, he had not gone under his own steam somewhat earlier.• I never thought Sal and Thomas would make it here under their own steam!• Can you manage to get up to the house under your own steam while I bring up the food?• It now stands in North Road museum having last moved under its own steam in 1925.• Otherwise, they'd be all over the place under their own steam. 