Is it possible to get a Provident Fund settlement from PF Trust?

What are the terms and conditions of your employment? If you have to serve a notice period of 30 days you have to do that. Generally. if the notice period is not given, the company will cut wages for the notice period and settle the accounts. PF can't be stopped. Once you join the new company you can ask them to transfer the amount to your new account. You will have the option of withdrawal also. The employer will not have any right to hold your PF money. So you better contact a senior official in the HR department and ask him to do your full and final settlement. PF and gratuity are statutory requirements and under no condition do they stop that money.
But it will not be settled before you get relieved from the company. If the company is trying to do any illegal things we can complain to EPFO and they will do the needful,
Even you can proceed legally also after getting relieved.

PF is your accumulated reserve in the company which company has to pay to you in any case. Only thing is there is some formality and procedure to be adopted for its release. You have to comply with that. If they are insisting for a larger notice period and you could not do that then let them deduct your salary for the short falling days and that would settle the matter. If there is some mistake in the procedure then that does not mean that they would stop your PF amount. So talk to them politely and ask them all the options for early release of your PF amount.
Provident amount of the employees is managed and monitored by the company as per the PF guidelines and company cannot do any wrong action in it. If the person goes to court to contest the wrong doing then the company would lose the case and the employee would be benefited. So there is nothing to worry and just talk to them in details and get the issue resolved.

There are two options for the same

1. If you want to withdraw the amount
You can withdraw the complete pf amount after your resignation acceptance and within 30 days you can get all refunds from the trust.

2. If you want to transfer the entire amount of PF to EPFO
You need to activate your UAN (Unique Account Number)
Using UAN you can transfer the PF amount along with your service.