Can H1B be transferred (Visa not stamped) just based on petition number?

[thejitendra]

Hi,

Current company filed for H1B in 2015 and selected in lottery (I am in INDIA). Visa is NOT stamped. Company filed for H1B petition (ending on sep 2016, yes this month end) and I know the petition number. I didn't have any other info or documents with me. 

I got very good offer from company b. 

If i resign from current company they wont give me any visa info or documents. In that case can new company file new "cap exempt petition" based on previous petition number and get me h1b stamped? Again repeating I dont have any info or document except my first petition number and my current company wont provide any.  

So should i stick around till i get h1b visa

or 

new company can file get me visa stamped (assuming current org wont help)