Hello Miss Sid, as of today over 300 people have reported this exact problem when trying to upgrade to High Sierra, the no.1 reason was that too many people per-say were trying to download the new OS at the same time causing connection hickups affecting the download process. The solution was simply to try again later.
The other reason was the lack of space in the Hard Drive, OS High Sierra requires 15GB for a sure install even though the initial download packages shows to be only 5GB of size.
And the last most common reason was that the computer does not have all the hardware minimum specifications needed for the install.
This are not the only reasons for that error but are the most common ones. Do me a favor and reply with the following info to get started for a customize solution:
1) Click on the Apple logo on the upper right left corner of your screen.
2) Select "About this Mac"
3) You should see in a new window the OS name, for example, "OS X Yosemite Version 10.10", please paste whatever your Mac shows in your reply.
4) You should see as well the model, for example, "MacBook Pro, Retina, 15-inch, Late 2013", please paste whatever your Mac shows in your reply.
5) And finally in this same window click on the "Storage" tab on the top. This will show how much free space is available in your Mac, just make sure that is says more than 15GB free.