Uh...yeah, two minutes from rest to 37,000 mph. Let’s just say that’s a lot of acceleration and leave it at that. May have to be a few advances in materials technology before that’s going to happen.
No. They're claiming 37,000 miles per second, not per hour.
That much speed differential over a period of 120 seconds requires an average acceleration of about 51,000 G. It is possible for specially constructed electronics to survive G forces in that region.
That speed would make the flyby portion come and go in seconds. There would be measurable relativistic time dilation, but it would not be a deal-breaker.