My personal answer to that question would be a definite "NO" Mégane. The chicks need feeding every couple of hours, sometimes more often than that, and like you say, if you're out at work all day that's way too long for the chicks not to be fed. The best way is for the parents to do it themselves as at least that way they'll get the amount of food they need along with nutrients provided by their parents.
I understand you want a closer bond with your birds but Zebra Finches are not really the birds for that. That can be done better with budgies, lorikeets and Parrots but in general finches are very "skitist" and tend to be wary of humans and will fly away. I have on occasions had finches settle on my outstreched hand whilst in my avaries, I had a hand full of seed and it took along time for it to occur and even then they flew off after a couple of seconds.
If you go onto "youtube" they're a few video's of people hand rearing baby zebbies but the time and effort required is intense and doesn't always end with babies reaching adulthood.
Just enjoy watching and listening to the parents feeding them and enjoy watching them grow, and learning how to copy what their parents do etc..