Examples, where /hold/ is suited, and /have/ will not be a good substitute:
-- hold on for a moment, please (while at the phone, you are asking somebody to wait and stay on the line)
-- please hold the dog's leash while I open the suitcase and take the car's keys.
-- The Beatles,
Song: Hold me Tight (composed by Paul McCartney in 1961, published in 1963), Lyrics' excerpt:
It feels so right now, hold me tight,
Tell me I'm the only one,
And then I might,
Never be the lonely one.