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
- The monkey has no further actions
- 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.