Welcome to the Community!
I don't believe there is a direct integration with Twilio, but you might want to check out this post where some others are discussing other options for sending SMS notifications from Bamboo.
You might find some helpful ideas here.
I hope that helps!
ugh! That is a problem. The only other suggestion I can make at this point would be to look at this Bamboo feature request. I know that it is request SMS notifications for a manual step, but it might be worth adding your specific use case which (I think) would make this capability more useful.
I'm happy to announce that Bamboo 7.2 has been released and it’s overflowing with awesome new features. This will be the last major Server release before the launch of Bamboo DC. Bamboo logs We...
Connect with like-minded Atlassian users at free events near you!Find an event
Connect with like-minded Atlassian users at free events near you!
Unfortunately there are no Community Events near you at the moment.Host an event
You're one step closer to meeting fellow Atlassian users at your local event. Learn more about Community Events