If you take relativity into account (which you should, it's how the universe works after all), traveling 4.37 light years at 1G acceleration/deceleration will take 3.58 years from the perspective of the people on the ship or 6 years from the perspective of those still on Earth[0].

You'd reach 95% of the speed of light, which would take 4 gigatons of TNT[1] (and 4 more to decelerate) if it's just you and your ship and energy source weight nothing. That's definitely science fiction. 100 years is optimistic.

[0] http://convertalot.com/relativistic_star_ship_calculator.htm...

[1] https://www.omnicalculator.com/physics/relativistic-ke?v=v:....