The Parker Solar Probe is now the fastest man-made object in history: https://boingboing.net/2023/10/10/this-object-is-now-the-fastest-thing-humans-ever-made.html
(20 seconds from NYC to LAX would be close enough to instantaneous matter-energy transport that it wouldn't make much of a difference at terrestrial scales, but it's still a long way from being relativistic - about 0.00059c if my math is correct.)
(h/t @Biggles for this one)
Your math checks. By way of comparison, at light speed circumnavigating the earth would be about 1/7th of a second.
Nowhere close to relativistic. But the real problems would be the atmosphere, and cargo. That is "burn up in the atmosphere" speeds easily - and acceleration/deceleration. Barring some magic tech - people go in, goo comes out. Soylent green.
