Only if you have installed monitoring app on your child's phone.
http://my.t-mobile.com will show you the fact a text was sent / received and when and to/from who. The contents are not stored.
There are apps that can be installed that will back up texts as they come in. Of course, they can be disabled. But, you can match up what you see on http://my.t-mobile.com and determine if missing texts are worth your child not having a phone or whatever the appropriate "I'm not able to monitor your communication" fee is.