Can a girl be "too available"?

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There is budding relationship potential between me and a guy. However, he's far away for the time being, so most of our communication is via email or cellphone. I'm not an increcdibly busy person. I don't go out a ton. 99% of the time, I pick up when he calls. I rarely miss his calls. Does that send him the message that I am a bit too eager? Am I being "too available" (is there such a thing)? Part of me says, "Look, you're 25-- grow up. You're overthinking this, now stop being such a girl! And yet i wonder...