If you wat Close Combat skills then I see nothing wrong with that though the rules say that each Close Combat skill must be assigned for each type of attack you plan on using.
Therefore, yu would need Close Combat (Grappling), I'd incorporate holding in to grappling, then you'd need Close Combat (Throwing) and Close Combat (Tripping). This is how I interpret the description of the skill, so each type of attack would require a separate Close Combat Skill appropriate for that move.