Definitions of possibly:

• adverb:   by chance

  Example: "We may possibly run into them at the concert"

• adverb:   to a degree possible of achievement or by possible means

  Example: "They can't possibly get here in time for the funeral?"

• adverb:   in a manner or to a degree possible of conceiving

  Example: "Is it possibly true?"

• adverb:   with a possibility of becoming actual

  Example: "Introducing possibly dangerous innovations"