Sure. Refreshing all the formulas in a workbook is possibly the more typical use case anyway.
If you’re using HSSF, call evaluatorAllFormulaCells:
HSSFFormulaEvaluator.evaluateAllFormulaCells(hssfWorkbook)
If you’re using XSSF, call evaluatorAllFormulaCells:
XSSFFormulaEvaluator.evaluateAllFormulaCells(xssfWorkbook)
More details are available on the poi website