No.  And to compound things, it has to be an event or events that are directly related to Pence's own actions not merely because he is Trump's VP, ie. Pence has to actually be President and royally screw up before any talk of impeachment can even begin.  Just like many (especially in the Republican party) hoped of Trump, Pence has the chance to 'rise to the occasion' and 'mature' into a competent executive.  There's also the whole "innocent until proven guilty" aspect of due process as well.