Is BOINC available for Android?

Is BOINC available for Android? Yes, it is.
The latest version is always available from the Google Play Store.

When you're a registered alpha tester, the page will know and offer you the latest alpha version. That one is also available from the Download All page. For more information about BOINC on Android, please see the Android FAQ in the BOINC User Wiki.

HTC Power to Give?

This is a version of BOINC, customized by HTC.

HTC Power to Give (PTG) is a full-featured BOINC application. If both PTG and the standard BOINC application are installed on a device, only PTG will run. It is available from the Google Play Store.