No, I'll link to some of the questions that cover this. The App Store version is sold and licensed differently than the version licensed online.

- http://apple.stackexchange.com/questions/6022/do-i-have-to-repurchase-apple-apps-through-the-mac-app-store-to-get-updates-ther?rq=1
- http://apple.stackexchange.com/questions/11538/is-there-any-reason-to-buy-the-iwork-bundle-instead-of-the-apps-separately-from?rq=1
- http://apple.stackexchange.com/questions/6034/can-i-update-apps-that-ive-already-purchased-through-the-mac-app-store?rq=1