Employment Law Questions? Ask an Employment Lawyer.
I'm Lucy, and I'd be happy to answer your questions today.
In a word: No.
Because employment is at will, unless you signed a contract to stay for a specific amount of time, you can still tell them that you've changed your mind. There would have to be something in writing - and employment contracts almost never limit when an employee can quit. It's your right to change jobs or to decline a job if you realize it's not where you want to be. If they sent you anything in writing, read it to see what it says, but you should still be allowed to leave. If there's no writing, they can't make you take the job or pay them to find another candidate. And honestly, if the position isn't the right fit for you, most companies would rather know at this point in the process instead of after you're in a job that makes you miserable.
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