Here's the big question: is the speaker in "Tulips" totally trapped, totally free, or somewhere in between? She's certainly physically confined, stuck in her hospital bed. At the same time, she's experiencing a kind of mental freedom in the sense that she has figured out how to escape from things that have always trapped her. But then again, those tulips keep thwarting her. It's almost as if she knows how to be free, but she can't quite bring herself to get there. It's a tricky line she's walking, and we think that's part of what makes the poem so gripping. Where will she end up?
In the final moments, the speaker finds a kind of comfort that's even better than total freedom. She accepts her confinement in her own body, and draws strength from that experience.
The speaker of "Tulips" can never find freedom, because she's just too emotionally disturbed.