Not at this time, no. Mastodon and bluesky use separate "protocols". That means they don't speak the same language by default. They're not compatible. The "bridge guy" that everybody was yelling at last week is essentially building a compatibility layer between the two protocols. https://c.im/@matthewp/111976792151502578
My guess is that bluesky does not intend to try to extend their reach at this time. They're focused on building up their own diverse ecosystem using their own protocol.
But there are a lot of third parties who probably want to bridge the two networks. For the technical challenge. For ideological reasons. Or just to watch the chaos. Who knows.