You can use Access as the data source but if you want to do calculations in Excel, you must import the data to Excel somehow. Sure, you can use external data sources with "normal" pivot tables as well but they can't handle multiple tables and multiple data sources. The Power Pivot data model can do that and you can also build "portable" measures that you define once and use over and over again.
I must say that Microsoft has changed their Power Pivot policy several times over the years and I'm not sure what is the current policy. They introduced the Power Pivot (and their ETL-tool Power Query) in Excel 2010 as a free add-in but I have no idea if that's still the case. But at least the Power BI desktop and its monthly updates are free and you don't even have to use Excel if you choose to use them.
The catch with the desktop version is that you're only supposed to create your reports with that and use the cloud based Power BI to share your reports.
To find out more about the current MS policies etc. go to Microsoft web site. And if you want to learn to use them there's a ton of tutorials in YouTube. For Power Pivot tutorials I'd recommend the PowerPivot-playlists by ExcelIsFun but for the Power BI (desktop) there's so many good ones I don't know where to start. Besides, the basics are the same for both Power Pivot and Power BI.
The main difference is with Power Pivot you're still using Excel and its visuals where as Power BI comes with dozens of built-in visuals and if that's not enough, you can find a ton more from the web site. Another major difference is sharing the reports: With Power Pivot you're going to need Excel to read the reports as well where as with Power BI you can read the reports using basically any web browser and even mobile phones.