Yes. There is no indication of any problems associated with vaccination and breastfeeding. COVID-19 vaccines are not live virus vaccines: they are biologically and clinically unlikely to pose a risk to the breastfeeding child. Recent studies have shown that breastfeeding women who have received mRNA COVID-19 vaccines have antibodies in their breast milk, but it should not be assumed that their babies are protected from the virus.
Based on all available evidence, also from other inactivated vaccines, breastfeeding should not be interrupted in women who receive the mRNA or vector vaccines, and vaccination should be offered to lactating woman the same as to other adults.