No, never ever - there are two important reasons why we can collect colostrum:
Humans have bred sheep, goats and cows for
centuries and increased their milk yield manyfold. Thus they not
only produce more milk but also a multiple of colostrum.
Every farmer knows that a calf can only
survive if it gets its share of colostrum; it needs about 6 litres of
colostrum in order to build up its own immune system. That's why every
responsible farmer
feeds his calves in the first place before he releases any surplus
colostrum for sale.