I left my job 2 hours to the shift ending, due to a death of my father in law. Can I legally be terminated?

Nevada is an at-will employment state where your employer can dismiss you for no reason at all, so long as it is not a prohibited reason. "Since employees in Nevada are presumed to be at-will, an employer can dismiss an at-will employee with or without cause, so long as the dismissal does not offend this state's public policy. State of Nevada v. Dist. Ct. (Anzalone), 118 Nev. 140, 151, 42 P.3d 233, 240 (2002)." While bereavement is truly unfortunate, there is no statutory entitlement to leave a job because of bereavement or emergency circumstances.  While one would hope as a personnel decision that an employer would show some degree of understanding due to the unfortunate circumstances, there is no legal protection which entitles you to keep your job.  Certain exceptions may exist if your job is subject to a contract or collective bargaining agreement.