Many of our clients have asked us if they can store their images, databases, etc. in 'the cloud' using a service such as Google Drive, OneDrive/SkyDrive (Microsoft), or DropBox. The short answer is that it is not recommended although some of our customers use the programs in this fashion. Keep in mind, the way some of these services work places a temporary "lock" on files so those files can be uploaded periodically to the 'cloud'. While this is acceptable for a word processing document or a photo, a live database should not be stored in this manner. Access-type databases set/remove file locks on the file to protect it from anyone, any program, from interfering with a user's ability to read-write to the database - if another application or utility places locks on the Access database files, this could cause problems with your software, including corrupt databases and crashes.
You are more than welcome to store your Backups in a cloud-synchronized folder, in fact, we recommend it! Just set the "Backups" folder to your cloud drive and the backup copies of your databases will be safe and sound.
Please see Can I Use "Cloud" Storage? for more information storing your data in the Cloud.
If you really want to take advantage of what the Cloud offers, check out ConstructConnect Takeoff: https://www.constructconnect.com/takeoff-estimating-software.