No, that screen will not work directly with any Raspberry Pi. The ribbon cable you see is a 50pin LVDS cable, which would plug into an LCD controller board that provides HDMI out and usually requires 12V power adapter. That would cost you $26.99, around $25 for the controller board, and around $10 for a 12V AC adaptor. At $62 total (without tax or shipping) you might as well spend $80 and get the official 7" Raspberry Pi touchscreen, which connects using the DSI connector, directly to the Raspberry Pi, requires no external power (unless you have power-hungry USB peripherals plugged into the Pi), and works right out of the box without drivers.
Given your example display measures 7", what size are you looking for? Would a 3.5"-4" display be acceptable for your project? If so I have recommendations below depending on your resolution and display speed needs. All of those displays connect via GPIO pins and sit directly on top of the Pi, making case fit very easy. No external power is required and there are some (very easy) drivers to install. However, if you are looking to play emulated games you probably won't be satisfied with the "standard" speed displays.
If you need a high resolution display for actual GUI desktop use I suggest either an an iUniker 3.6" or a HyperPixel 4" display. They are both high resolution (800x480) and high speed displays and work great. I have both and would recommend the iUniker model due to the lower cost, and it looks super crisp at 3.6". Keep in mind the iUniker model is ONLY for Pi 2/3B/3B+ and will not work with the new 4B; they offer a 480x320 version that does work with the 4B, but no 800x480 version yet. I'm not sure whether the HyperPixel works with the new 4B or not.
My recommendation: purchase the iUniker 3.6" 800x480 screen for $30 no matter what your intended use for it.
Standard speed/low resolution displays:
High-speed/low resolution displays:
High-speed/high resolution displays: