No unfortunately
By looking at your specs you don't even have a graphics card.
You should be able to play Minesweeper though
But on the serious note you might need to upgrade your graphics card to a GTX 750 ti for a good start.
My old HP used to have a GTX 645 and that played a lot of games but just not the latest. Infact it could only really play small games thats why I have a custom now
The CPU should be ok for Minecraft though