That really is not their reason. They do work crazy hours, often weekends, and they send him to Catholic school so he has a chance to go to Mass. They are not rich people so this school is a sacrifice for them. They are not Catholic but want to do RCIA but can't commit to the crazy number of weeknight classes.
Neither of the child's parents are actually catholic? Is this correct?
If I'm right then the following likely applies. If not, disregard.
No, the child will likely not get FHC. Nor should s/he. It would likely be harmful to his future faith development and is usually not done unless a child is near death. Just attending a catholic school does not confer any rights to non Catholics to the sacraments. He will not be the only child to not receive FHC. Pending the school, anywhere from 10-80% of the students are likely not catholic and thus not getting FHC either.
It took me years to get through RCIA due to life conflicts but my kids couldn't receive sacraments until I did. Not even baptism. When I finished RCIA and officially entered the church, all my five kids at the time entered via baptism. The following week my oldest received FHC.
They should have spoken to their priest over a year ago at least about their situation and how to remedy this. But if they never attend church themselves, they are going to have a difficult time convincing him of their ardent desire to join and their understanding of the faith.