Here is a decent workaround streamlined from the hints in the comments to this question. In this example I use the PDF viewer Skim, but it should work the same with any other app.
Open Apple's Script Editor that is in the Applications/Utilities folder, and copy the following code.
on run
do shell script "open -n /Applications/Skim.app"
tell application "Skim" to activate
end run
on open theFiles
repeat with theFile in theFiles
do shell script "open -na /Applications/Skim.app " & quote & (POSIX path of theFile) & quote
end repeat
tell application "Skim" to activate
end open
Save it as an application. Now every time you drag a PDF into the icon, a new instance of Skim will open. I like to use OSX's native split-full-screen view.
I found this script online a long time ago and I don't remember where. If anyone knows I'd be happy to give credit.