According to Bungie, “Long-term, Bungie is committed to Destiny. We created the universe and we hold its future entirely in our hands. The vast majority of the team is hard at work envisioning future experiences, enemies, and ways to play the Guardian you’ve been building since 2014. We’re going to keep doing that.”
They add, “We’re thinking about what it means to be truly independent, what it means to self-publish, and crucially, what Destiny’s future can now look like for our players.” Previously it was reported that despite Bungie splitting from Activision and taking Destiny with them, Destiny 3 could still be on track for a release in 2020 which is in line with Bungie’s release schedule of Destiny games so far.
In the meantime Destiny 2 will continue to be supported by Blizzard’s Battle.net where the game was at one point in time offered for free, so if you had already claimed your free copy, you can still play it and launch it through Battle.net without any issue.