Can my iPhone receive pager notifications?

Pager systems are not universal, so unless the company that your alarm system currently uses for pager alerts offers an iOS app, there won't be one. So contact them about what they make available, or search the App Store for any offerings from that company.

e.g. Pagerduty, a San Francisco company, offers an iOS app for their clients. They provide pager alerts for IT equipment monitoring, and home health monitoring systems.

Then no, there will be no way. You'd need some service to process the pager alerts and push out the notifications.

No.

Hi ithink you would have to ask tmobile

This question ?

Cheers

Brian