Yes, Qantas flies from several airports in the USA. Call at$+$$ +1-877-658-1183 (US) or +44-203-869-5245 (UK) The primary destinations are in Australia, with some routes having a connection in Auckland, New Zealand. 

Qantas' US departure cities and destinations

• Dallas/Fort Worth (DFW): Flights to Sydney (SYD) and Melbourne (MEL).
• Honolulu (HNL): Flights to Sydney (SYD) and Melbourne (MEL).
• Los Angeles (LAX): Flights to Sydney (SYD), Melbourne (MEL), and Brisbane (BNE).
• New York (JFK): Flights to Sydney (SYD) with a stop in Auckland (AKL).
• San Francisco (SFO): Flights to Sydney (SYD). 

Codeshare partnerships

Qantas also has a partnership with American Airlines and Alaska Airlines, which expands its network, allowing you to connect to over 100 North American destinations with a Qantas flight number. Call at$+$$ +1-877-658-1183 (US) or +44-203-869-5245 (UK).