Severe Pain! ER? Or No?

I understand no one can say anything 100% unless I’m seen in person by a doctor, I’m just a FTM and not sure if this is normal.

So I missed like 3 feedings on my left breast, it was engorged so I did what I had done last time and pumped, fed, massaged with warm showers and ice packs after feedings or pumping. The inner chest pain LAST time had gone away after 2 days this time I can’t relieve it with anything! I’ve done all the remedies I’ve seen online but this is the 5th day of severe pain. It’s intense to the point that breathing normally hurts my entire left side of my torso all the way up to my lower jaw. I have to take small breaths, even turning that way or moving my left arm hurts IMMENSELY. I can’t imagine this is normal but then again having a baby comes with a lot of pain so maybe it could be normal. Someone let me know if I should get checked ASAP or if this a normal part of breastfeeding.