Does having decent swim speed from spell, item, power, racial or class ability allow you to propel yourself out of the water?
A creature with a swim speed can move through water at its indicated speed without making Swim checks. It gains a +8 racial bonus on any Swim check to perform a special action or avoid a hazard. The creature can always choose to take 10 on a Swim check, even if distracted or endangered when swimming. Such a creature can use the run action while swimming, provided that it swims in a straight line.
Note: See the Swim skill for further details.
For example the Aegis Astral Skin adds +10 feet to the average medium creature’s Base Speed of 30 feet making it 40 feet, with the run action (40 x 4 = 160 feet) that’s a 160 feet. Is that enough speed to propel you out of the water as if doing a long or high jump…say to get you aboard a pirate ship?