I have this hard lump on one of my breast and it is sore when I touched it or during breastfeeding. is this considered blocked duct? any remedy to relief this?

Yes, it block duct. Are feeling pain or uncomfortable with it? If left untreated may cause fever or need go hospital drain out too. U can try having a hot bath, and use a comb to comb down to the direction to make it come out. Or use a hot towel to keep doing compressed, and squeeze it out. If very block, engage a massage lady to massage out for you. (Beware it's very pain!) If you latch, ask ur LO to latch it non-stop for you! And keep pumping out! If having fever, please see a GP and let them know, they will give you antibiotics to recover. And they will ask put to put a cold towel on the lump area to slow down the blood flow. If on antibiotics, don't need to engage massage lady, as it'll go away after a few days, just that keep latching and pump out.