It's easily possible, just put a low range turbo on it, of course you wouldn't find anyone willing to do it though. As they would be all about getting the maximum HP.
On the Honda its very possible that it has a Low Range turbo mounted to a high Revving N/A engine.
Point 1: You would have a truck engine at that point, and it definitely wouldn't rev high at that point.
Point 2: The power curve/engine you are describing cannot exist with the figures (77lbs*ft and 63hp) given on the spec sheet. A high revving engine happens when the torque peaks in the upper RPMs. If you put a "Low Range" turbo on the engine, it will shift that torque peak to the lower RPMs. Here is a 600cc motorcycle engine to demonstrate that point.
We don't know where the Honda's peak torque is. Lets imagine an impossible best case scenario. Lets imagine that Honda has worked a miracle and that engine makes peak torque (77lbs*ft) from idle to redline, 1,000rpm-9,000rpm in this imaginary case. It is the ultimate in low end
and high end torque. [HP=TQ*RPM/5250]
RPM: BHP
1000: 15
4295: 63 (already at the quoted peak HP output!)
5000: 73
5250: 77
8000: 117
9000: 132
But we already know it can't make more than 63hp so that also means it cannot make 77lbs*ft of torque past 4295RPM. So the RPM point at which this particular engine makes its peak torque MUST BE BELOW 4295rpm.
What is the maximum amount of torque it can make at each RPM interval while never exceeding 63HP?
RPM: TQ cannot exceed:
1000: 330.75
4295: 77
5250: 63
5000: 66.15
8000: 41.34
9000: 36.75
This all points to a decaying torque curve, not a high revving engine, even under unrealistically perfect scenarios. It doesn't take into account things like having to reduce compression when adding a turbocharger.
EDIT: I couldn't have just looked at the spec sheet again and saved some trouble. It says peak torque is at 2,600rpm and peak power is 6,000rpm. So, yeah, not exactly high revving.
If I were to guess, I would say that it will have a surging well of torque (relatively speaking of course, lol) from about 1500rpm to 4500 and then it will exponentially start falling off with nothing left past 7,000rpm. Far from the spunky old beat.
EDIT 2: In all fairness, the Beat probably was utterly gutless below 5,000rpm. You just can't have it all when you are playing with 660ccs. For a Daily Driver I'll take the S660. For a sports car, that screaming Beat all the way! If they were the same weight, they would probably be nearly identical in terms of outright performance numbers.