There is a folder that contains a lot of files. Only some of the files needs to be copied to a different folder. There is a list that contains the files that need to be copied.<
Try this as your foreach-loop. It creates the targetfolder AND the necessary subfolders before copying the file.
foreach ($itemToCopy in $imagesList)
{
$targetPathAndFile = $itemToCopy.Replace( $sourceFolderName , $targetFolderName )
$targetfolder = Split-Path $targetPathAndFile -Parent
#If destination folder doesn't exist
if (!(Test-Path $targetfolder -PathType Container)) {
#Create destination folder
New-Item -Path $targetfolder -ItemType Directory -Force
}
Copy-Item -Path $itemToCopy -Destination $targetPathAndFile
}