ironmon and structuralaggie are correct according to the 2003 IBC. But ultimately, it depends on the code. Don't quote me, but the 2000 IBC allowed wood supporting masonry veneer if it weighed less than 40psf and some other criteria, but I believe the 1997 SBC didn't allow it.
I have the 2003 IRC (International Residential Code) in front of me and it allows masonry to be supported by wood.
Section 703.7.2. Exterior venneer support.
"Except in Seismic Design Categories D1 and D2, exterior masonry veneers having an installed weight of 40psf (195kg/m2) or less shall be permitted to be supported on wood or cold-formed steel construction. When masonry veneer supported by wood or cold-formed steel construction adjoins masonry veneer supported by the foundation, there shall be a movement joint between the veneer supported by the wood or cold-formed steel construction and the veneer supported by the foundation. The wood or cold-formed steel construction supporting the masonry veneer shall be designed to limit the deflection to l/600 of the span for the supporting members. The design of the wood or cold-formed steel construction shall consider the weight of the veneer and any other loads."
If the code allows it, use your judgment. We always used a steel angle between the wood and brick to act as a barrier in those situations. Along with suitable flashing.