The short answer is no. You need to speak the verbal component of the spell. However, a couple of things to consider when we say “silence.” If you are in a magical silenced space, you can’t use any verbal component.  If you are thinking of using a verbal component in a low voice, then it is up to the DM how loud a caster should speak to affect the Weave. In other words, the volume of the caster's speech is up for interpretation but not the fact that they need to get sound out of their mouth to do magic. Lastly, if you can ignore the verbal component, you can cast the spell even under magical silence. That is the case for the Subtle Spell Metamagic.