No, but it didn't occur to me to ban all unapproved gifts from ancient far away rellies, so dd1 got one by default (and then a gazillion more - so they have been around since birth for the other two).
If it helps, this was over ten years ago and she's a science geek with a garage tap habit now.
Read 'Cinderella ate my daughter'.
They lose interest in barbies by 5 or 6 now - as long as you aren't limiting her options, there is no reason to expect that a barbie at 3 will pre-determine her life of gendered misery. Honest. And I'm a paid up member of the Fawcett Society.
I have one teen girl that wants to be a judge, and a teen with undisclosed sciencey engineering ambitions (potentially medical engineering design - who knows). And an almost teen boy who wants to be an architect. All three had unfettered access to Barbie (and pretty much everything else, including guns) from very early. None of them have any desire to starve themselves and dress in pink, not even my son (who does love his dance class - maybe he caught that from playing barbie with his sisters?) They weren't aware of the rule that said if you choose this dolly at three, you would catch misogyny. Indeed, it may have made them more aware of it.
Toy choice is indeed crucial. Let them have them all.
My barbie (actually a sindy - I only owned one) used to thoroughly enjoy using the zip wire we built from the upstairs window to the apple tree. Clearly I hadn't read the rule that said dollies must be kept indoors and only played with under strictly gendered conditions either.
Imaginations are fun. There's no reason that Barbie has to stifle the imagination, just because the marketers try.