Can a notice period be waived?

You would have to get your employer to agree to release you from your employment contract. If you have an especially understanding superior, you might be able to convince them that it wouldn't be productive to keep someone around for the notice period, given that the soon-to-be-gone employee won't really be committed to adding value to the company. Depending on your company and management, this can be a long shot. Most companies will simply insist that you either i) honour your employment contract and stay for the duration of the notice period, or ii) pay up if you want to get released early.

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Remember that notice periods are legally binding. If you don't serve your notice or pay compensation in lieu, it's a breach of contract. Your former employer can file a civil suit against you (of course, such scenarios are not likely. This usually only happens if the owed compensation is very large - e.g. for senior executives).

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Here's a guide on how to defend lawsuits in Singapore: https://www.providecover.com/how-to-fight-a-law...

Must ask your supervisor. If is a big company very unlikely. If is a very small company maybe can buddy-buddy, close one eye.