Short answer...yes, there sure is!
Long answer...requires some visuals, so lets dive in.
Although vintage and rustic can go hand in hand, we should first separate them in their styles.
Same pieces, different style reference.
The farmhouse style chairs can lean into either a rustic or vintage frame, neither wrong, just different.
For me, it is the mix and match of colours and styles that lean into a vintage vibe.
An antique sewing table is definetley vintage, but with certain decor styling, it can also lean into either the rustic side, or vintage.
This rustic vintage dresser is the best of both worlds wrapped into one.
There is no mistaking it is a rustic style piece, so it truly does become all about the styling, and how far from rustic you want to take it.
Creating a design vibe with vintage pieces leaning into one style or another can be tricky. Working with a designer will help make that easier for you, and even help you create a well rounded, and multi use list of inventory to use for your event.
You can use these images to pin on your wedding Pinterest boards for future reference.
I hope this helps you see the potential in your event rentals, and how you can create a cool vintage vibe and lean into the rustic style too if needed/wanted.