Yes, you can use the same methods you are using for your move for the computers move.
Java is Object Oriented Programming (OOP) and therefor you can create functions that can be called multiple times.
The Java Tutorial - Object-Oriented Programming Concepts[
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EDIT:
OK, so you are already moving stones/figures/whatever.
The function that moves the "playing item" is probably using some member variable of the class. Let it use only given arguments:
private void moveStone(int iSteps ){
}
those arguments should be set newly every time the function is called. No member variables to be called in there (at least non of the calculation/move responsible ones).