While Trans Sidera is a work of fiction, all attempts are made to be as scientifically accurate as possible while still allowing for story. Here you will find links to some of the cutting-edge, or even purely theoretical, technologies that are used by the characters in Trans Sidera.
Yes, actual real-life warp drive seems like it is a reality. While it has not actually been made yet and there are many serious hurdles, it really looks like it is possible. See the links below, which describe the basis for the warp drive theory in Trans Sidera.