No, iOS 13.6.2 (the last update for iOS 13) will be released at the end of August or in the beginning of September.
Then iOS 14 will be coming...
That would be very unusual if Apple issued two point updates this close to a new iOS release. Only with iOS 9 did Apple issue two updates in August.
In fact, it's already unusual for Apple to issue the EOL release of any iOS version this late in the product cycle. Only 3 prior versions of iOS had their final updates as late as August before the successor version came out. I fully expect that iOS 13.6.1 will be the final iOS 13 release, unless a glaring bug or security breach crops up in the next couple of weeks.
Except for iOS 12, any updates issued after the release of a new version will typically address very specific bugs that only affect certain devices. iOS 12 has had 7 security updates issued since the release of iOS 13, but only for A7 and A8 devices that cannot run iOS 13.
Here's Apple's history with EOL updates to iOS.
iPhone OS 1 - 1.1.4 released 2/26/08 (1.1.5 released 7/15/08 for iPod touch only)
iPhone OS 2 - 2.2.1 released 1/27/09
iPhone OS 3 - 3.1.3 released 2/2/10 (3.2.2 released 8/11/10 for iPad only)
iOS 4 - 4.3.5 released 7/25/11 (4.2.10 released 7/25/11 for CDMA phones only)
iOS 5 - 5.1.1 released 5/7/12
iOS 6 - 6.1.3 released 3/19/13 (6.1.4 released 5/9/13 for iPhone 5 only; 6.1.5 released 11/14/13 for iPod touch 4G only; 6.1.6 released 2/21/14 for iPhone 3GS and iPod touch 4G only)
iOS 7 - 7.1.2 released 6/30/14
iOS 8 - 8.4.1 released 8/13/15 (8.4.4 released 3/24/20 for Apple TV 3G only)
iOS 9 - 9.3.5 released 8/25/16 (9.3.6 released 7/22/19 for iPhone 4s and cellular iPads only)
iOS 10 - 10.3.3 relased 7/22/19 (10.3.4 released 7/22/19 for iPhone 5 and cellular iPad 4G only)
iOS 11 - 11.4.1 released 7/9/18
iOS 12 - 12.4.1 released 8/26/19 (12.4.8 released 7/15/20 for A7 and most A8-powered devices only)