According to the data provided by fellow members and reading my own books the Fw 187 very well could do that.
So why wasn't it produced in large numbers at any time?
1940 is pretty irrelevant because the Luftwaffe didn't want a heavy fighter,as defined by various contributors to this thread,at that time. If the organisation that orders and pays for aircraft doesn't want one like the one you are hoping to produce then you won't sell it to them.
That seems a more relevant question than hypothetical discussions about what it could or couldn't have done.
There are many what ifs. Some at the British Air Ministry were still prevaricating over future Spitfire orders in 1939.
Cheers
Steve