I have thought so, but then I think of some of the things that happened in past centuries. Epidemics that we now avoid with simple vaccinations. People dying or being crippled by injuries that we now repair with surgery. Or because we can't get food or medicine to them quickly enough. I asked my grandmother about the "good old days" and she said they weren't all that "good". What we think of as the "good old days" are the time when we were children and whatever problems there were, WE didn't have to solve them. If we are born FOR any particular time, I think we end up pretty much where we belong. We just have to take hold and make THIS time our own.
We all have thought that at one time or another. That's normal to try and see your self in another place in time. It will pass and you will be glad over all when you consider all the things you would be doing without
Okay, hold on. I'm going to let you in on a BIG secret. You were born in a different century. You've been born in thousands of centuries, from the beginning of humanity until the end of the earth. Every time you die I talk to you about what you've learned in that life, then I wipe some of your memory and I send you back to live a different life. I don't wipe all of your memory, though. That would defeat the purpose. You see, each time I send you back as someone else, you learn not just new things, but you learn old things from a new perspective. And all the people around you, all the people you know, all the people you don't know, everyone who has ever lived throughout all of time.... it's you. They're all you. They're all just shadows of the same life, lived in different times, all unaware of the fact that they are all the same soul. I created this universe for you. Just you. And when you have lived every life that has and will ever exist, when you have learned everything that this universe has to teach you, then and only then will you be ready. Then you will be born. You will be one of us. And you will create universes of your own.
People are only born as the result of two other people doing the "gooey thing" so I would say the answer to your question is "No". Look at "ireallyamgod's" answer. I concur. You have memories of other times but you are here now for a reason. So,,,,,Enjoy!
I think that we are here in this exact moment for a reason and whether it be bad or good we all contribute to what the world is like RIGHT NOW! So no, I don't think god or whoever you happen to believe in would make a mistake like that because He has a purpose for us. And our purpose is here. It is now.