Oh no you can't. The mother Pokemon passes down the Pokeball it's caught in. So like if you have an Oddish in a nest ball all her off spring will be in an nest ball. And I can trade if you can? I'm fine with evolutionary stones as well. Or even things like a heart scale.
Sorry about getting back to you so late. I'll be on for the next few hours, my FC is 0103-9250-3985. If we're not able to trade today, let me know if you're available another time. I should be very flexible the next few days. Thanks.