Yes. Once a thread acquires a lock in some object, it may call any other synchronized method of that same object using the lock that it already holds.
What is use of synchronized keyword?
Can a thread call multiple synchronized methods on the object of which it hold the lock?
Can static methods be synchronized?
Can two threads call two different static synchronized methods of the same class?
What are synchronized methods and synchronized statements?
When you will synchronize a piece of your code?
Why synchronization is important?