Owe means to have an obligation to repay or pay something for what has been received. Do you owe something to your parents for having you and doing their “best” or probably not their best? This alone, as the title says, I think not. You don’t owe anything to your parents. They had you and helped you for selfish reasons. It made them feel good to create something, so they did.
When you are thinking of what you want to do in your life, you can’t worry about how it will make your parents feel. Unless you’re using their money, then that’s a different discussion but one you should have before taking a dollar. If they want you to be a doctor but won’t be going $200,000 into debt for a 10 year program, and doing the work, good for them, but you don’t owe them your future.
If you have a goal, and they don’t like it, too bad for them, you have to live your life on your terms and seek your own happiness.