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In the game, there are skills which you can only see in the character sheet, if you turn the filter to display absolutely all the skills.  It is currently impossible to get those skills neither on the market nor among contracts. Since they do exist, it is possible to conclude that they might be soon included into the game, maybe with the next patch. Here's the list of such skills with details on them:

Genetic Engineering – allows to create hybrids of machines and living organisms. Makes it possible to use DNA mutators. It is very likely that this skill is somehow connected with the hidden Jovian race. This skill might bring some new elements into the game.

Gunnery Interfaces – a skill to manage the ship's turrets, enables the use of powerful implants in the body, which will positively affect the combat capacibities of the character. This ability is fairly useful, although similar one are already there.

DED Connections - it is the ability to convincingly communicate with units of Concord ('DED'). The main purpose of this communication is to obtain a higher reward for the murder of a pirate. Gives up to 1,500 ISK per killed pirate. As we can judge by the amount, this skill make very little sense, when (if) it is available, and perhaps will only be useful for beginners.

There are also other mysterious skills that are allowed by the game, but generally are not indexed, they are not listed in the Eve database, they cannot be bought. The only possibility at all to learn about them – is the character sheet.
An example of such a skill, is the skill Duplicating Rank. It is seen in the charater sheet under Science section. Another skill - Hypernet Science – can also only be found under the same section.

Generally, the skill tree in EVE Online is quite large and seriously worked out, but because the game still cannot be considered not fully completed, and as it still evolves, and new content, not only eve ships, is periodically added, there is always a possibility for a broader character leveling.