Quoting Taylor Migliano:" Yes! That was my problem with both of my daughters. They were born at 32 and 34 weeks, went straight ... [snip!] ... got out of the hospital but they wouldn't latch and I just didn't have the patience or knowledge to try more than a month."
I got lucky that my DD had a great latch, she was in the NICU for the first week and although it took me over a month and a half to fully get my supply, I still do fully breastfeed her. I did have to supplement her at first too, I got lucky it didn't interfere.