Absolutely. Effective laser applications have already been demonstrated, and the Navy seems committed to developing and fielding them. They should start to be deployed experimentally very soon.
That doesn't mean they will have a Star Trek-like phaser beams that can destroy warships in a single blast, but smaller lasers for intercepting small boats and incoming missiles are a definite possibility.
Lasers have a couple of important advantages, including, firing at the speed of light and near limitless ammunition. Both of these are important considering that the potential missiles the navy will face in the future are becoming cheaper and more capable. Traditional kinetic defenses are too expensive to combat that threat.
I don't know what recent trials you are referring to. Hadn't heard of any.