Hi Aranyak,
No, the EPS and PF are not linked. You can withdraw the PF once you leave the organization after completing 10 years of service or even less than that. For that withdrawal, you need to fill out Form 19, which you are familiar with. For the pension amount that cannot be withdrawn in case the contribution is more than 10 years, the PF authority will provide you with a pension certificate. In case you are unemployed, have started a business, or are leaving for other countries for more than a year, then you have to submit a copy of the visa; only then can you claim the pension amount through Form 10-C.
If the contribution is less than 10 years, you can claim the pension fund accumulated in your account by filling out Form 10-C. There is an option in the 10-C form where they have asked whether to opt for a pension certificate or withdrawal. In case you want to withdraw, you can opt by marking withdrawal, or if you opt for a pension certificate, then you have to tick the scheme certificate.
If you have any further doubts, please email back.
Prabhakar Rao.M