No. Other than parental or dependency leave, there are no automatic rights to unpaid leave.
Some employers do allow some workers to take extended periods of unpaid leave and return to their old jobs, as a way of keeping valuable staff who might otherwise leave for good. However, this is governed solely by a company's own policies. Consult your staff handbook or intranet to see what the policy is in your workplace.
Just One More Click: Doggy drama about staying safe online at work.