Quick answer: Yes — Munich Airport follows standard German and EU aviation-security protocols, and Munich itself is generally considered a very safe city. There's no published crime-rate data specific to the airport facility, which is typical for major airports.
Standard precautions
Keep valuables and travel documents on you, not in checked luggage
Use the left-luggage service (see our left-luggage guide) rather than leaving bags unattended, even briefly
Standard EU security screening applies to all passengers and carry-on items
As with any major international transit hub, use normal travel precautions — but there's nothing about Munich Airport specifically that stands out as higher-risk versus other major European airports.