Maybe. Maybe not. The basic idea of 309 in such dissimilars is that the higher alloy content can withstand greater dilution before you fall into the martensitic zone. If dilutions are held low 308 will work but it is not recommended (and I do not recommend it) especially with SMAW since the dilutions required are lower than what is common to SMAW (around 50% for beads on base metal).
Even 309 will fall into the martensitic zone if dilution is high. In fact, there will be a martensitic zone even with 309 its just that it will generally be so thin (and immediately adjacent to the fusion line) that it is predominantly rendered irrelevent. In fact, you can even get a very thin martensitic zone with nickel base alloys on carbon steel.
So, its not an absolute, but its risky with 308.
You need to consult engineering on this.