No. More importantly... never consider using unlicensed content in anything you produce. The negatives just outweigh the positives.
Public Domain: This is 75 years from the death of the writer... if a corporate entity doesn't renew the copyright. I can almost promise that a corporate entity still owns the HB music catalog.
If you're doing a no-budget project consider Moby Gratsi or Kevin McCloud or other creative commons material. This may become problematic if you plan to acquire distribution or if this is a corporate venture. Honestly though... stock music is so cheap these days, why not just license something from a production music catalog?