Yes, it can. We have the hypothesis that the scientific method works to discover new truths. The evidence is found in the last four centuries of use of the scientific method and the great number of truths that have been produced. The tests are found in any new area of study, where the scientific method is applied and we see whether new truths about that area can be found. Such tests have been done repeatedly in many different areas of study and the scientific method has passed the tests each time.Can science prove science?
Now, the hypothesis is that the scientific method is the only reliable method of finding new truths about the real world (as opposed to abstract truths, such as in mathematics). This hypothesis is tested by the large number of alternative systems that have been attempted over time: philosophy, religion (of many different types), intuition, meditation, etc. None of these has been shown to be a *reliable* way to find new truths over time.