Yes, but there was no admission that there were bioweapons. Just samples of dangerous pathogens that they don’t want to fall into Russian hands.
Here's the exchange:
Rubio: Does Ukraine have chemical or biological weapons?
Nuland: NO! Ukraine has biological research facilities which, in fact, we’re now quite concerned Russian troops, Russian forces may be seeking to gain control of, so we are working with the Ukrainians on how we can prevent any of those research materials from falling into the hands of Russian forces should they approach.
So you're clearly correct that Nuland did not confirm bioweapons.
OH WAIT, Nuland did NOT say "NO!" You did.
Here's the actual exchange:
Rubio: Does Ukraine have chemical or biological weapons?
Nuland: Ukraine has biological research facilities which, in fact, we’re now quite concerned Russian troops, Russian forces may be seeking to gain control of, so we are working with the Ukrainians on how we can prevent any of those research materials from falling into the hands of Russian forces should they approach.