There is a few apps on the Google Play Store right now that have some SkyDrive integration, there isn't a Microsoft delivered solution available. At least not yet. Source : AndroidCentral
Microsoft took the time to go ahead and update folks on their SkyDrive happenings and mobile applications were a part of those announcements with an Android version officially announced as coming:
Today, as part of making sure SkyDrive is available to all Windows customers, we’re excited to announce that an official SkyDrive app for Android phones will be available in just a few weeks. The Android app is similar to our mobile apps for Windows Phone and iOS and allows you to browse your SkyDrive, upload files to SkyDrive, as well as share SkyDrive files with “Send a link.” You'll also be able to open SkyDrive files from other apps, as well as upload, save, and share to SkyDrive from other apps.
If you're invested into the Microsoft way, it'll be great to finally have an official app for Android. We'll let you all know when it pops up for availability. Other news from Microsoft today may help some developers out there, they've gone ahead and changed some of the API's available. If you're looking to make your own SkyDrive app, something to look into.