The answer here is- yes and no, and yes again.
Yes, because, as Allan points out, you can explicitly hide updates, through the use of the "troubleshooter" mentioned in Ed's article, which provides functionality which used to be part of Windows update.
With previous Windows versions, you had several options for how the system receives updates; Automatic, which would check for, download, and install updates automatically. Never, which would never check for or download updates automatically, as well as two options to notify the user that new updates are available; one of which will also download the update in the background but wait for the user to initiate the installation. Windows 10 has removed all the options here and left only "Automatic" updates available through the user interface.
As it happens, however, the lower level setting still supports all the configuration options. The Windows Update options can be access in Group Policy Editor (gpedit.msc) under Computer Configuration -> Administrative Templates -> Windows Components -> Windows Update in "Configure Automatic Updates". I've set mine to download and notify myself and it is well-supported via notifications that inform but take no action. (Group Policy editor itself is actually just a gussied up registry editor in some respects, so for Home Editions it is possible to change policies directly via the registry to get this change in place)