As a HAB is just a stretch fabric wrap - it's definitely possible to BF in it, but it does take a bit of practice feeding in a wrap. The Front Cross Carry is a good carry for feeding in as bub can be popped in and out and it can be easily adjusted. I've been feeding DD (9 days old) in a woven wrap, mostly in a Front Wrap Cross Carry (FWCC) and a modified cradle carry with good success. If you google instructions for these carries there are plenty of vid tutorials on youtube, or check out thebabywearer for lots of good instructions.
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