As it is, no. CCP hasn't coded it into the game yet, it's not a key feature and wouldn't be more than a quick gimmick that players wont spend more then a few minutes messing with. Then there's the problem of where you'd put them on ships. Anything decently sized to be easily visible would take up half the ship and wouldn't be visually appealing to the eye.

Then there's the fact that 'show info' will always be around and 100% easier than checking a ship's logo.

Still want to paint my Thorax pink though.

Consider the implications of jumping into a grid with ships. You now have to render all the ships. This mostly is an issue of getting all of the turret settings of the ships (is that a large pulse laser or a small artillery on that turret) and active effects going (shield buffer, armor hardener, remote effects, etc...).

Now, add into this mix of trying to render the ships a "get all of the corp logos for all of the corps in the grid." There are only a few ship models and turret types out there. These are already on your machine so you don't need to download the models. But how many corps are out there? Yes, a corp logo (with some exceptions) is just the composition of a bunch of variables... but when you undock at Jita, how many of those are you going to have to go out and fetch from the server too?

No. Corp logos (or alliance logos) on ships are not something that is on the dev's plate - especially if they are at all concerned about lag on the server or your client machine.