Ios 6.1 to ios 7 even if there is already 7.1.1 Is it posible to update to ios 7 from ios 6.1 for ipad 4 even if there is update for ios 7.1.1
No - it is Apple philosophy to disallow older updates. If you update, then you must (!) update to the newest system.

Same for downgrades - you are not allowed to downgrade to a older system if you dislike the updated version.

Buy the way: why do you want to upgrade to 7.0 and not 7.1.1?