No.
Every company has certain salary level. Someone is contributing to PF fund in "X" company when moves to "Y" company where his salary level is more than Rs.6500/-, it is policy of the company "Y" whether he is willing to extend this benefit to him or no.
PF Act is very very clear in this respect, that whose salary is more than Rs.6500/- p.m. he is an exempted employee. Just because he was covered under PF in "X" company does not force "Y" company to extend the same benefit to him. He may be a member of PF, but both companies are separate entities.
Think the other way round. If the company "X" where there is no coverage of PF, when he is moved to"Y" company (and his salary is less than Rs.6501/-), he has to necessarily be covered under PF. Just he was not covered under PF in X company will not entitle "Y" company not to cover him under PF. It is the Law / Act that decides the eligibility criteria and not the status of employee whether he is continued member of PF or otherwise.
Therefore, the law / Act cannot enforce an employer to extend PF benefit to an employee (whatever benefit he enjoyed in the previous company) if his salary is more than Rs.6500/-. It is EMPLOYER'S DISCRETION.
Therefore in your case, HE NEED NOT BE COVERED UNDER PF, UNLESS YOU WANT TO EXTEND THIS BENEFIT TO HIM.
Balaji