With 2 jumps it is. Jump to calculated position of old ship. Load cryo beds onto new ship. Jump to destination.
I think the problem is more matching velocities so you can make the pickup. Also, a certain compatibility between vessels for any kind of docking/passenger exchange.
Even then, there’s a huge energy cost to slowing down mid-flight. It might actually be faster to drop off improvements as you fly by and let the slower vessel upgrade itself using the improvements.
This also opens up a big question of extra-solar transportation economics. If you’re planning to develop Vehicle Y that can outpace Vehicle X, why would anyone get on X to begin with?
I kind of picturing it like how planes refuel in the air.
Cause it’s 50 years later. 50 years ago they thought we have flying cars but no one thought of smart phones. Stuff happens. Plus this way you can less people through the ftl because the rest are on their way. something like raised by wolves with androids and human incubators prepping for the rest. Also no gaurentee humans can survive that kind of trip. Could only be able to send a bunch of walle’s setting up the town.