Can we deny child bonding leave if our employee has not worked for our company for one year?

Yes. The ability to take child bonding leave under the Family and Medical Leave Act (FMLA)/California Family Rights Act (CFRA) requires that the employee satisfy eligibility requirements — unlike pregnancy disability leave, which has no work eligibility requirements. Keep in mind that once an employee does meet the FMLA/CFRA eligibility requirements, they will be eligible for child bonding leave at that point, provided that the leave occurs within one year of the child's birth.

For example, perhaps the employee is not eligible for child bonding leave under FMLA/CFRA right after the baby is born because the employee has only worked for you for 10 months.