Traveler enable the APNS as default, what you should know is the APNS server is a public ip you should check the IP can be reach or not from your traveler server.
This source should be connected , use" ping gateway.push.apple.com" check the connectivity
And what you should do is check the notes.ini relate to verse production and set it.
The parameter NTS_PUSH_ENABLE_APNS=false should be removed from notes.ini
and also you should enable the access to apple APNS services
Or
You can disable NTS_PUSH_ENABLE_APNS_APPLE_VERSE_IBM_PRODUCTION = false
Bare in mind that each device controls how it registers for APNS.
For example connection for Verse for Citrix Production to gateway.push.apple.com on port 2195 is active and is enabled via
NTS_PUSH_ENABLE_APNS_APPLE_VERSE_CITRIX_PRODUCTION
If you don’t want to allow that app to use APNS, you will have to disable it too.
The native built in mail app on Apple iOS does not use APNS for push. It uses a long poll request from the app to the server using the Exchange ActiveSync protocol. Individual users can disable this if they do not want to do push and switch their account settings on the iOS device to Fetch New Data as Fetch instead of Push. On the device, go to Settings->Mail->Fetch New Data-> Find your Traveler account and change the settings from Push to Fetch or Manual. You can also change the Fetch settings to be either every 15, 30 or 60 minutes (or manual).