It is not only impossible to hatch shipped budgie eggs, but also pretty close to impossible to hand-raise them from day-olds. How will you keep them warm and proper humidity? Did you know their tissue-thin skin will crack if the humidity isn't right? They make special incubators for parrot chicks, but these cost a couple of hundred dollars.
Have you ever hand-fed any baby parrot? I have. You must get the formula the exact temperature and keep it that way, this is harder with small amounts, so to give your budgie 3 drops of formula (that's about how much a day-old would take per feeding) you'd have to make half a baby-food jar's worth - and then throw all the rest out. You can not be tempted to keep it for the next feeding, It spoils insanely fast, and you'll kill your uber-delicate chick.
That also gets really, really expensive.
A newly hatched budgie is about the size of your thumbnail. Have you ever handled a baby bird that small? Are you 100% positive that you can get a beak that tiny open and food down it without hurting/killing the chick? Because it is not going to raise it's head and open for you - it couldn't if it wanted to. It is so, so, SO easy to asphyxiate them, I kid you not.
Do you like sleep? Have you ever spent a couple of weeks feeding something every two hours around the clock? Really not fun. You need to be awake and alert enough to feed that delicate baby every hour and a half. If you have a job, how are you going to work around that? Will they let you take your baby incubator in to work and take a break every hour and a half?
So, basically, you'd be in a few hundred dollars and several deaths (I guarantee you that some WILL die) when you could have bought a perfectly healthy bird for 20 bucks.
I would just get a pair of budgies, let them breed and peek in the nestbox every day for your baby-fix. If you start to very gently handle the babies from the time they are 2 weeks old, they will be as friendly as hand-fed babies, without the work. Again, I know this from experience.