Yes you can apply.
The odds are against you. A pending K-1 implies immigrant intent. The INA requires a presumption of immigrant intent. A tourist visa requires not having immigrant intent.
The main way to overcome immigrant intent is via strong ties to return home. A K-1 implies you will be moving to the US in the "near" future...so any claimed ties aren't really ties since they will be broken soon.
But the only way to know for sure is to apply. It's rare, but people have been approved for a tourist visa mid-process.
Ieshamarie29 got a reaction from Ms. Clarke in Hello , was you able to schedule your interview as of yet ?
Ieshamarie29 reacted to geowrian in Does anyone know if i can do an application for the B1/B2 visa while the k-1 is still