Yes. Go to My account -> Calendar and you'll find a link that many third party calendars accept as a calendar feed. Set that up in your own calendar and you'll see your matches along with all your other engagements. It's a one-off job and all your matches will automatically appear going forward.
How you add the calendar feed depends on what calendar you use. If you're not sure, google it with your calendar type and the text "ICAL". The URL provided by ManageMyMatch is a standard "Ical feed".
Make sure you choose a frequent update period - maybe every hour or something. Sometimes a calendar's default for this setting can be days - in which case that's not much use!