No, the iPad 2 has bluetooth 2.1
however as stated by Garmin themselves:
Garmin will attempt to keep this list up to date with the most popular Smartphones that feature Bluetooth Smart technology however it will be possible that a particular model may exist and appear to work but not be listed as compatible.
http://support.garmin.com/support/searchSupport/case.faces?caseId=%7bbbfc9660-8f 77-11e3-d5f4-000000000000%7d
They probably have not tested their products with an iPad 2, but since BT is backwards compatible it is possible it may wok though there's no guarantee it will.
You'll need to try it. Make sure you can return the vivofit if it does not work.