Is there a way to do this out of box? And if not, does someone recommend a webpart that I can install?
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SharePoint includes an OrgChart webpart and it's enabled in user profile pages by default. You however have to have user profile service configured correctly and in Active Directory the manager property has to be set.
If you are using SharePoint online or 2013 with apps enabled you may be able to use one the apps available from the store: https://store.office.com/search.aspx?productgroup=SharePoint&qu=Org%20chart
If you are on 2010 (or 2013 wihtout apps) there is a "market place" perse, but you browse the web and find other vendors that offer products like this: https://sharepointorgchart.com/
Most people find the included Org chart functional enough for their needs - so I would encourage you to check that out. In 2013 it's called the "organization browser" web part.