Can a vehicle have too much horsepower?

I'm doing a LA360 home ported heads, speed pro h116cp pistons .030 over, 9.5 cr lunati voodoo 10200702 cam it will put me around 7.9 dcr. 340 cast intake and a thermoquad finished off with full length summit cheapo headers. I'm guess around 300-340 real world horsepower. What do you think?
Depends on the heads ability but probably more than what you listed of the head is right. Looks like it’s right in the true driver nice and enjoyable range.