No, it can't.

Yongnuo has never really thought of their triggers as a system. The hacked-on 560 mode in the YN-622-TX is more of an afterthought. And while you'd assume that the 622 should have the capability of simple manual triggering of 560 flashes, it does not. This is why considering triggering systems/flashes from Phottix or Godox may make more sense than those from Yongnuo if you need TTL and manual flashes to work together in the same system, or plan to grow your lighting system over time.

Personally, I'd say ditch the YN-622s and go for the new Godox X1-C TTL triggers (their analog to the 622s), and get a TT600 (Godox's analog to the YN-560IV, which has an X1 transceiver built in). Or, consider sticking with Yongnuo's 622 system, and save up the pennies to get a YN-685 instead of the YN-560IV. But this type of gear changes relentlessly, and this advice may be outdated in a short while.

Godox at this time, however, seems to have the edge, despite the newness (read: lots of firmware updates) of the X1 system, simply because they have TTL/manual triggers that interoperate at equivalent-to-Yongnuo prices, and not just speedlights and speedlights with battery packs, but also bare bulb and studio strobe options in their triggering system.

Of course, you can also go with Phottix, but higher pricetags go with their better reputation and industry buy-in (e.g., Sekonic makes a meter with an Odin transmitter in it).

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Addendum:

[Fn] 06 "560" is how you set the 560-Rx mode on the TX for MkI YN-622s (i.e., let a YN-560-TX transmit to the 622-TX and fire the remote 622s). See Clive Bolton's TOYUG, page 63. It was added in firmware version 1.02, so that's probably why it isn't in the manual which (I assume) was printed only upon initial release of the 622-TX (which predates the MkII 622s) and hasn't been updated since. This is why we love Clive Bolton's TOYUG. :)