Not naturally, if you want to have triplets then you have to have a download a mod for multiple births.
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There is a cheat but it does not work, so no you cannot have triplets.
There are no cheats for triplets or quads. But it can happen naturally.
It Is Luck To Get Triplets I Usually Get 1 But U Can Get Pregnant On Any Sims 2 Game [On PC] And If U Want Triplets You Need A Cheat "CTRL+SHIFT+C" Brings The Cheat Box Up And This Is The Cheat "ForceTwins" Without The " Then When She Has Her Baby/Babies It Will Say There Is 2 Babies On The Way And She Will Have Twins TA-Da!!
none, sorry (it's completely impossible) :[ You can only have four Sims in a household. So you can only have twins.
You need the Insimenator.