Yes, there is such a thing as too much communication. You should feel important to one another, but you shouldn't feel like your entire life is an endless pivot between one mode of technology to another. You'll become drained, and it will inevitably take a toll on your relationship.
There is a happy medium between healthy communication and spending too much time together. No one should be sacrificing their social life for a three hour Skype chat set in stone. Communication should be flexible, and it should never feel like an obligation (mostly because obligations are boring and completely unsexy).
Instead, be understanding of missed calls, and be honest about when you're just not in the mood to talk. By allowing for a natural ebb and flow in communication, you'll find you look forward to the virtual time you do spend together much more, and your phone chats will be that much more satisfying.