Yes, if they are both eligible under the federal Family and Medical Leave Act (FMLA) and/or the California Family Rights Act (CFRA).
The FMLA and CFRA require employers to provide both employees with the opportunity to take child bonding leave. The FMLA allows you to limit the total time available to both employees to a total of 12 weeks, but the CFRA does not.
The rules relating to leave when both parents work for the same employer depend on whether the leave is FMLA or CFRA.
Read more about CFRA and FMLA Employer Coverage in the HR Library.