Is the desire to be free from physical pain a form of craving that the second Noble Truth warns against?

I have constant chronic pain. Would really like to be rid of it. Is this considered a negative desire in Buddhism? I remember in the Dhammacakkappavattana Sutta, the Buddha stated that the second Noble Truth is "craving for sensual pleasure, craving for becoming, craving for non-becoming." I guess I interpreted the craving for non-becoming to apply to my desire for my pain to be gone.