As a professional dog behaviour consultant..
I would say no, really...
Consider this, what stage is your baby going to be at, when your puppy is a bolshy 'teenager' - thats around 8 or 9 months old, they pretend they forgot everything you taught them, they go back to chewing shit up, ignoring cues, pissing about.. and you've got a 13 month old human who is doing what?
Toddling about, falling down, grabbing stuff, throwing things about, exploring his or her world as they do... and you have a dog that is frankly, at the wanker stage...
Sure it works for some people, but I work with rescues and private clients for whom it isn't working, it didn't work... and in the end, the dog is the one who lucks out most often.
(And i have a pup at the 'wanker' stage right now and boy is she a little witch having been a dream puppy, aced puppy classes, aced intermediate classes, but now she's 10 months old and full of 'fuck you I'm a hound and I SHAN'T! ' )
The two sensible options open to you right now are:
Wait until kiddo is old enough to follow instructions like 'don't sit on the dog' and 'don't get in the dogs face' AND old enough to cope with puppy biting, and general puppy behaviour - this age varies from 5 for some kids and 25 for others!
Or, get an adult dog from a reputable rescue that use foster homes and assess their dogs SUPER well, and have really good behavioural back up (these do exist, you'll need to shop around for them, I know they exist because I work for two of them!).
If you do decide to go ahead with it, I highly recommend you get a behaviour consultant in before you even get a puppy to help you pick a/ the right breed and breeder (its SO much eaiser with an unbiased person helping!) and b/ sort out sensible management plans and tactics.
There are people who do this (I am one of them but there are a fair few now) - and they will offer support through the first few months as well which certainly all my clients who have gone this route (and most have had dogs before) have really RAVED about it, wishing they'd known about that before hand or that it had been available to them with previous dogs.