From a physics standpoint, water is nearly incompressible. Its volume changes an insignificant amount due to pressure changes (unless it freezes or vaporizes). Oil actually changes in volume more.
The gases dissolved in it could bubble out. As the cabin pressure starts to decrease, these gases could start to bubble out, like carbon dioxide bubbles in a bottle of sparkling water. However, there likely isn't enough dissolved gases to cause significant change in internal pressure. And this is why you have a reservoir and use rubber/plastic hoses instead of metal. The reservoir allows the coolant volume to increase until the gas bubble makes its way to the reservoir, at which point it's bled out of the system. If any gases should cause a localized pressure increase (more an issue when the water is circulating and you could get a momentary air lock), the rubber expands to accommodate the extra volume. Still, if your hose connections are not securely attached, the extra gas pressure could in theory pop one of them off. I'd check to make sure they're on securely before boxing the computer.
I'd be more worried about the baggage handlers throwing your computer around. That's far more likely to cause a hose to pop off. Or a heavy component like the reservoir break off. Make sure your shipping box/suitcase has enough padding to help absorb these impacts.