Hope you are doing well !!
As per the law at the time of registration under PF itself, there is one UAN number which is allotted to you. That is a Unique number given against the PAN of every individual applying.
In such case, there cannot be two registrations that can be done. Secondly, to claim the benefits of PF contribution with two or more companies, you will have to share the same UAN number with the other company also where in they can record the contribution.
Hence both the companies can extend you the benefits of PF but on the same PF account.
However, a person can’t work as a whole time employee in 2 company but he can work in 1 company as full time & in other company as part time.
If you are a part time employee in other company. Then you can have 2 pf account under single UAN
but you need to keep in mind that because you have 2 pf account under single UAN then there are chances that pf department will look into your account
What you need to do Is that you need to have appointment letter of both company showing as par time time & full time employee. So that if any query arises you can show it to them.
My second opinion is that you can talk to ur employer & if possible then you can show ur part time job as consultancy & and ask your employer to deduct TDS.
We may assist you in entire procedure.
It is advisable to take a phone consultation for detailed discussion.
Thanks & Regards,