Any possibility to divide a class into multiple physical files using Java?
No, the whole of a class has to be in a single file in Java.
If you're thinking of C#'s "partial types" feature, there's no equivalent in Java. (If you weren't thinking of C#, ignore this :)
This might be a good idea if the class is really so large such that the implemented concepts are not easy to grasp. I see two different ways to do this:
Use inheritance: Move general concepts of the class to a base class and derive a specialized class from it.
Use aggregation: Move parts of your class to a separate class and establish a relationship to the second class using a reference.
As previously mentioned, there is no concept like partial classes in Java, so you really have to use these OOP mechanisms.