Yes you can do artificial insemination at home.
Most artificial insemination's are done by a medical professional which is much better than doing the artificial insemination at home.
However you can ask the doctor about a home artificial insemination kit which they can get you.
Then you introduce the mans sperm into your vagina through the use of the artificial insemination home kit.
My sister used an artificial insemination kit at home to get pregnant because her husband just didn't like to have sex.
So he still got his sperm into her through the artificial insemination.
He's a great husband to her and a great dad to the kids that they have produced through artificial insemination.
However there's still not guarantee of getting pregnant even with artificial insemination but it can work.