The Sims 2 PSP: Can You Have Children? (No)

No. The Sims 2 (PSP) is a stripped-down port focused on career progression, skill building, and social minigames. It completely removes:

• Pregnancy / WooHoo / Try for Baby
• Family trees / Genetics / Aging (babies → toddlers → children)
• Marriage (only "Move In" as roommate)

What the PSP Version *Does* Have

• 5 Career Tracks (Business, Criminal, Culinary, etc.) with minigame promotions.
• Relationship meters (Friendship/Romance) but capped at "Partner" status.
• Furniture/decor buying, house expansion.
• Local wireless "Visiting" (see friend's Sim, chat, minigame).

If You Want Families on Handheld

• The Sims 2 (NDS): Also no babies.
• The Sims 3 (NDS/3DS): No pregnancy.
• The Sims FreePlay / Mobile (iOS/Android): Full pregnancy, babies, toddlers, aging, generations. Free-to-play.
• The Sims 4 (Switch/PS4/Xbox/PC): Full life stages.

The PSP game is a career sim with Sims skin. Enjoy it for what it is.