(1) Yes, but the requirement is to inform the employer in writing.
(2) Also, if it is a probation period, only three days' written notice is enough.
(3) If an employee resigns with a written notice 30 days or 3 days in advance, he/she can leave after the notice expires, regardless of whether the company approves or not.
2. "What are its related legal responsibilities?" ：
(1) If an employee resigns in the above manner, he shall resign in accordance with the provisions of the Labor Contract Law, and the employee shall not bear the losses caused to the unit by his forced resignation.
(2) However, if the labor contract stipulates liquidated damages for service period and confidentiality according to law, if the employee resigns early, he shall bear the liability for breach of contract agreed in the contract.
When you say "I graduated from college three years ago", you should have worked in the company for three years and want to leave early. Then, notify the unit in writing 30 days in advance, and you can leave your job after the notice expires. As for whether there is liquidated damages to be compensated, it depends on the specific agreement in your labor contract. I suggest you add it.