To my knowledge, pretty much all snails (and pretty much all inverts) in the hobby are still wild caught. To date, I'm only aware of three Nassarius snail species that have been aquacultured, and I'm not aware of anyone/any company actively breeding them.
Also, whelk is a very broad term that technically refers to any species from the family Buccinidae (though the term is frequently used to indicate any predatory snail, which is an ever broader category), and some of these species are tropical (and as such, will do perfectly fine at/require tropical temps). From what I've seen, the pattern the eggs are in in that pic is a very uncommon pattern for snails, so I'd personally feel more comfortable trying to give an ID with a few more white light pics. That said, if they are whelk eggs, the young will most likely come out as pelagic larvae (called veligers), and they'll most likely all die (get eaten, skimmed out, etc.).