SolarPowered:
20th and 21st Century mere mortals are quite able to accomplish the above through artificial insemination, IVF, and I suspect several other processes. I don't doubt that Heavenly Father has the means to accomplish conception without intercourse. (Although, it does seem a bit of a shame to go though all a woman goes through to have a child, without getting to have the fun part first.)
If I read that right, SolarPowered, who is a TBM, just said it's a shame that Mary had to go through all the pain and whatnot of bearing Jesus, but didn't get to enjoy having sex with GOD. Wow, that's quite a thing for a TBM to say.
What would happen if two unmarried LDS (man and woman) went together to a fertility clinic and used the man's sperm to fertilize one of the woman's eggs, and then implanted it into her and she became pregnant? Well, her bishop (and anyone else who learned about it) would go absolutely bonkers and I'm quite sure that church discipline would be called down on them.
I don't really know why the TBMs get so hyper-sensitive about people suggesting that God had sexual intercourse with Mary. It's not like God donating some celestial sperm to a celestial cup and having one of his celestial assistants implant it into her through the power of the Holy Ghost is any different from a theological/moral point of view. By LDS views, really, if it were OK for God to impregnate Mary with his sperm, it would have been OK for him to do it the natural way. We can see that sexuality in and of itself, however, is viewed with such suspicion and such superstition by so many TBMs that the idea of God's celestial sex with Mary is just beyond the pale. And yet they talk about God's DNA being used to impregnate Mary, and that's just fine. This is schizophrenic, if you ask me.
As I move further away from my past belief in LDS theology, I'm starting to find the concept of an Almighty God, the Creator of this Universe and all that in it is, impregnating a young human woman to bear his child to be quite bizarre. It reminds me more like Greek mythology and Zeus' offspring by mortal women.