No, you won't be able to get anything in a laptop that will run all of those games at that budget. Battlefield 4 will be one of the more demanding PC games out there, and if GTA V ever gets a PC port, it is likely to also be quite demanding. Just about every laptop in your price range will be equipped with integrated graphics only, and won't be able to play more demanding titles with any smoothness, at best you might be able to find something with a discrete graphics card that is only slightly better than the integrated. With your budget, your only options to play all those games are:
A: Buy a console to play the titles your laptop won't be able to handle.
B: Build a desktop system.
C: Look for a used or refurbished deal on a gaming laptop, you might have better luck finding something adequate for games in your price range with that route, though don't expect any good warranty support, or a long lifespan.