Nah, no restrictions.
Feel free to use whatever names you want.
In fact, many people here are tired of the unending stream of Chinese-like names which hard to pronounce and distinguish for non-Chinese people. And even more so of Chinese-looking names which make no sense in Chinese. (There is even a topic here on the forum concerning that.)
So I think there is a bunch of people who would appreciate you writing characters with names which would sound normal to western people.