You didn't specify if you were talking about a Volvo car or Volvo truck.... in this instance, I'm going to assume you're talking about a truck, such as a VNL, VED, or VHD series. The simple answer is, no, that model year is not CARB compliant. Those predate the DPF, and retrofitting them is both expensive and ineffective.
Emission Phase was created in 2007-01.
The 2007 Volvo C70 has 20 valves.
The 2007 Volvo XC70 has 20 valves.
The 2007 Volvo S60 has 20 valves.
The 2007 Volvo S80 has 24 valves.
The 2007 Volvo XC90 has 24 valves.
The 2007 Volvo S60 has a 5-speed automatic.
The 2007 Volvo C70 has a 6-speed manual.
The 2007 Volvo XC90 has an inline 6 engine.
The 2007 Volvo S80 has an inline 6 engine.
The 2007 Volvo S80 is a gas-powered vehicle.
The 2007 Volvo C70 is a gas-powered vehicle.