My on/off button is broken and i can not power up my phone (no water damage) but i really need to get my contact lists and some text messages off the phone

Probably impossible

Can you retrieve deleted text messages on Android? Yeah, this video will show you the full guide for Android text message recovery. Don't hesitate and recover deleted text messages from Android 4.0, 4.1, 4.2, 4.4, 5.0, 5.1 and more versions right now!
Not only can you recover SMS messages from Android backup but also can recover Android SMS messages without backup. This video is showing you how to recover deleted sms messages from Android.
Some common situations that lost text messages you can recover from:
1. accidentally deleted texts on your android phone
2. lost text messages after Android 5.0 updated or other Android upgrade.
3. save text messages from water damaged, crashed, broken or smashed Android phone
4. Android deleted text messages randomly by itself
5. Factory restore Android phone.
And more...

If your tablet is wit Android system you can do a factory reset from the Android System Recovery menu. To go into the recovery menu, press and hold the Power On button and some other key (Volume Up, Volume Down, Home ). The combination is different for the different models.
When you are in the Android system recovery menu, use The Volume Up/Down keys for navigation and the Power button for confirmation.
Choose "wipe data / factory reset"

You can try GT Recovery for Windows which can recover deleted messages without root your phone!
no root !
Can you retrieve deleted text messages on Android? Yeah, this video will show you the full guide for Android text message recovery. Don't hesitate and recover deleted text messages from Android 4.0, 4.1, 4.2, 4.4, 5.0, 5.1 and more versions right now!
Not only can you recover SMS messages from Android backup but also can recover Android SMS messages without backup. This video is showing you how to recover deleted sms messages on Android without root your phone.
Some common situations that lost text messages you can recover from:
1. accidentally deleted texts on your android phone
2. lost text messages after Android 5.0 updated or other Android upgrade.
3. save text messages from water damaged, crashed, broken or smashed Android phone
4. Android deleted text messages randomly by itself
5. Factory restore Android phone.
And more...
Facebook Homepage:https://www.facebook.com/GT-Recovery-for-Windows-527139864132104/
Google+:https://plus.google.com/communities/109657948177651590858

Download link: http://www.gtrecovery.net/

Um... so... what's broken about it? The video didn't really tell me much.

Connect the HTC Desire to your PC via the USB cable, so that you can get to the .VCF card that was just created. Log into your gmail account and click on the contacts menu choice on the left side. Choose the "Import" menu choice at the top right of the contacts list now and select the .VCF and press Import. This will load all those contacts into your Contact list in Gmail and the next time you reset your phone and you resync with Google all your contacts will be then available again on your HTC Desire.

Other solution try Vibosoft Android Mobile Manager:

http://www.vibosoft.com/mobile-phone/print-out-text-messages-from-htc-phone.html

Press and hold the sleep button (on top) and the home button, for about 10 seconds. The Apple logo should appear and your iphone rebooting.

You may need to connect to computer to recover using iTunes if the battery is completely drained.

You can try Data Recovery software!
no root !
Can you retrieve deleted text messages on Android? Yeah, this video will show you the full guide for Android text message recovery. Don't hesitate and recover deleted text messages from Android 4.0, 4.1, 4.2, 4.4, 5.0, 5.1 and more versions right now!
Not only can you recover SMS messages from Android backup but also can recover Android SMS messages without backup. This video is showing you how to recover deleted sms messages on Android without root your phone.
Some common situations that lost text messages you can recover from:
1. accidentally deleted texts on your android phone
2. lost text messages after Android 5.0 updated or other Android upgrade.
3. save text messages from water damaged, crashed, broken or smashed Android phone
4. Android deleted text messages randomly by itself
5. Factory restore Android phone.
And more...