No i tried, it pulls up a thing saying warning the game you are about to Download can only be played on the PS3... I stopped there...
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It would be a great feature if they could sort your download list by platform it would be great.
I always claim all the games, and then months down the line i have to try and remember which games will not work on PS3.
I've downloaded so many vita games on my ps3 its not even funny :)
There is on the website store https://store.sonyentertainmentnetwork.com
Look at the checkboxes on the left, there should be a section called Device and you can filter by PS4, PS3 and PS Vita
Not sure about the console version of the store