Yes, full text of articles from this bimonthly magazine are available in Business Source Complete
Harvard Business Review also has a website where articles appear on a daily basis. Business Source Complete captures this digital content as well, though they only upload it biweekly. You can browse and search for those articles.
Please note that Harvard Business Review is not peer-reviewed and is written for people working in business rather than for scholars.
The Harvard Business Review also publishes individual case studies that appear outside of the magazine. The libraries do not have access to these case studies unfortunately, and if they are assigned by a professor students are expected to purchase them individually.