Can you freeze sperm and inject it for later inside of women and have a perfectly normal baby?

*You* can't, but it can be done under the right conditions, with the right equipment.

Yeah. That technology has been around for a few decades now.

That's what "In vitro fertilization" is. It means 'performed or taking place in a test tube, culture dish, or elsewhere outside a living organism.'

Sperm banks and fertility clinics freeze sperm and store them. You can do the same with egg cells from a woman. They use liquid nitrogen to freeze samples, and then store them at extra cold temperatures. Sperm, eggs, or embryos are kept in special vials that are stored in tanks and kept in special rooms. The temperature of the tanks and the room are monitored constantly. This freezing is called "cryopreservation."

Later whoever owns a frozen specimen can schedule with their fertility specialist doctor to use it. There's a special process for thawing frozen samples and preparing them for use.

I think I read that the odds for optimal outcomes are improved if using frozen embryos rather than just sperm. Embryo is where an egg cell (ovum) from a woman and sperm from a male are combined (in this instance in a petri dish in a lab.) After cell mitosis begins (where it starts dividing into multiple cells) that's when successful embryos are frozen and stored.

Not all sperm, eggs, embryos survive the freeze/thaw process.

Procreating using frozen sperm, eggs, or embryos is usually expensive. It's not always covered by health insurance (USA.) Theoretically anyone can do it, but it's usually for couples with fertility issues, or those expecting fertility problems.

For example if someone has cancer. If they know they're going to have to do chemo or radiation, and they want children, but they don't have any yet ...then in vitro might be the best option for them.

It all depends on an individual person's unique circumstances. Everyone is different. This is just one way to have a baby.

Sure. It’s done all the time.

Now it’s rather specialized freezing. You can’t just put it in an ice cube tray and pop it in the freezer.