Heat on breasts to relieve pain?

Hannah • Hey my name is Hannah. I am a 27 yo SAHM 💙👶🏻 💙4/29/16 💙👶🏻 💙4/23/18
Hello! I was in the hospital for a spinal headache the past 12 hours. I have been trying to pump but unfortunately am still very engorged and swollen. Can I put heat on my breasts to release the milk easier and relieve the pain? Would ice be better? TIA