No. 
As written, it is all one action to infuse the missile and attack. There is no point at which the monkey could be holding a crossbow with an infused bolt and have the opportunity to attack with it.  
(You *might* be able to get away with the monkey disarming as a readied action immediately before your attack roll, but then 

 1. The monkey has no further actions
 2. What happens to the bolt if the action which imbues it is interrupted halfway through is undefined

That said, it might be a reasonable house rule.