Use java.time.Instant;


import java.time.Instant;

Instant instantStart = Instant.parse("20200229T12:00:00Z");
Instant instantEnd = Instant.parse("20200329T12:00:00Z");
Instant instantNow = Instant.now();

return instantNow.isAfter(instantStart) &&  
       instantNow.isBefore(instantEnd);