If you are qualified and have been shortlisted for the new higher post, you can very well tender your resignation to your current employer by complying with the conditions of the employment and join the new employment.
the Indian Constitution does not explicitly recognise the ‘right to work’ as a fundamental right. It is placed in Part IV (Directive Principles of State Policy) of the Constitution under Article 41, which hence makes it unenforceable in the court of law. Despite the absence of an express wording of the ‘right to work’ in Part III (Fundamental Rights) of the Constitution, it became a ‘fundamental right’ through a judicial interpretation.
All thanks to the wider interpretation of Article 21 made by the Hon’ble Supreme Court through its judgement in Olga Tellis & Ors. v Bombay Municipal Corporation & Ors.- ‘right to work’ was recognised as a fundamental right inherent in the ‘right to life’.
You can very well join the new employment by properly tendering your resignation to the current employer.