Formal Education. You can become a biomedical engineer with a bachelorâs degree, although you may need a graduate degree to lead a research team, according to the U.S. Bureau of Labor Statistics. ONet online reports that 45 percent of biomedical engineers have a bachelorâs degree and 35 percent have a masterâs degree.ou can become a biomedical engineer with a bachelorâs degree, although you may need a graduate degree to lead a research team, according to the U.S. Bureau of Labor Statistics.