It depends on the airline and the ticket. Cheap tickets almost certainly not. If you pay for a business class or first-class ticket, that kind of thing (with a cheap or free change of flight) is one of the benefits of paying a higher price.
If you have insurance, you may be able to claim some costs if you have an actual, proven, and acceptable cause (such as a major medical issue or family death).
If you are a Customer of American Airlines and you Drop your plane and you also want a refund. American Airlines Refund Team Refunds Your refundable Amount.