re-apply China visa after denial

Yes, you can re-apply in Hong Kong for a visit visa again after your denied visa, however, it is not easy for Filipinos to get a China visa in Hong Kong. You have to satisfy the following conditions:
1. you previously travelled to China on a valid visa
2. your passport has no cancelled china visas
3. you have a confirmed return ticket or a ticket showing exit from China
4. you have a confirmed hotel booking voucher.

In fact, there is not a specific period for you to apply a new visa after the denial, you can reapply for a visa a week later in the Philippines. One of my friend applied China tourist visa and was denied, 2 weeks later, he applied again and was issued a visa. Just try your luck!