If it's been fairly well maintained, it should not have a problem passing the California smog check. There is a difference with California legal and Federal legal emission requirements. However this does not stop USED out-of-state vehicles from registering in California.
Assuming this Chevy Suburban is a Federal emissions vehicle and equipped with the Federal required emission components, it can pass the California smog check and register with the CA DMV, if its exhaust emissions fall within California's limits and the vehicle's emission system has not been tampered with. This exemption does not apply to new vehicles.