Yes but not on the sims 3
No you can not have a baby or get pregnant on The Sims 2 PS2
Pregnancy already takes a short time on sims 2 but if you want it too speed up look for cheatcodes on cheat sites.
I am not sure yet...It's not out yet...but I am sure that on the Sims 3 you will be able to have kids. But i am pretty sure the pregnancy will be more updated from the sims 2.
3 days.
You can download the fox's test box from the site, Posebox.livejournal. Fox's test box is a type of pose box that is used in the Sims 2.
2 weeks
No there isn't a cheat for that.
You'd need a download for this purpose. You can do it with SimBlender, or with a hacked medicine cabinet.
2-3 sim days
Any age.
Who's pregnancy test? Yours?