I have deleted the duplicate thread you made on the same subject. Please do not post the same posts on the forum.
Often times people who are serious about breeding take at least a year to learn as much as they can about their birds and budgie breeding in general.
As you haven't given us much information, please answer the following questions so that we know the level of knowledge you have. This will help staff know more about your situation. As it stands, the information we will offer will be more general as we don't know enough specifics about your birds currently.
How long have you had your budgies for?
What diet are they on?
What research have you done about breeding budgies prior to allowing them to breed?
No one would recommend someone take a baby budgie away from their parents to hand raise it with no prior experience.
If you want to tame a chick, you would allow the parents to fully wean the chick before you removed it.
Budgies are not the easiest to tame. Whenever you see pictures or videos of budgies that have a wonderful bond, months of work have gone into forming that bond. Yes, it is doable and I'm sure you can do it, but it takes a lot of hard work and I'm a little concerned that you have rushed into breeding not fully prepared.
To answer you other questions; no, the parents will not be angry if you take a weaned chick from them.
It's possible that if you do not socialise the chick it will freak out.
The chick will not recognise you as a parent. You will never become a surrogate parent to it and even if it were remaining with its parents, budgies don't have a family bond in the way humans do. It might bond to you if you are prepared to do the hard work and research that goes into raising and taming a chick properly.
To start with, you need to read pretty much *every* sticky we have on breeding.
Scroll down about half way down the page and read the specific links about breeding.
You should look at other topics about general budgie care as well to make sure you are as knowledgeable as possible in order to help your birds.
Further down, you will also see a list about taming and bonding.