Since time and speed are relative, to have 1 Earth day on the star and see 72 years on Earth, it’d simply be a speed multiplier of 72*365.24= 26,296.28 times faster. Our solar system orbits the galactic center at 250km/s or 0.0008c, so ~26k times that puts it at nearly 22c relative to us. So no.
But quite frankly, there must be a way to be a slower observer. Earth’s orbital speed is about 30km/s (0.0001c) so that drops the product way down to 2.6c. And while the Parker Solar Probe holds the record for the fastest man made object at 0.0006c at its closest solar approach, it actually took a lot of energy to slow it down to get it to the sun and stall it’s orbit. Otherwise, it’d just orbit it the same as the Earth. It slides out to a Venusian distance from the sun at apogee and drops to 12km/s, halving the differential requirement to +1.2c. But if everything is relative, how do we even determine where 1c is and know it’s so definitively impossible to reach? I don’t know, I’m starting to have an existential crisis. Maybe time just keeps dilating and simple addition/subtraction doesn’t apply for appreciable values of c so you have to start multiplying in decimals.