Nope, that's not right. BPD can't be treated with CBT (comorbidities may be, with caveats if BPD is the root cause), you probably will also need at least DBT.
I coild argue that DBT is kind of just a variant of CBT, and while it's generally got evidence of being more effective there's credible sources suggesting CBT is effective (even if it's not quite as good). But nah.
I know there's exceptions. I said there's exceptions.
Not sure what you refer about "talk therapy" in this case (psychoanalysis, maybe?), as even CBT needs homework and check-ins to be done.