All English words, and therefore all English names, must contain at least one vowel sound. This is a fundamental rule of the English language.
Perhaps you're thinking of names that are spelled without a vowel but are pronounced with one? Some examples might be:
* "Blyth" - pronounced "blith"
* "Rhys" - pronounced "rees"
* "Lynn" - pronounced "lin"
Let me know if you have other name ideas in mind!