Canonical Christianity and nowadays paranormal beliefs can't be mixed in certain way, but if we extrapolate both outside the canonical (ecclesiastic law) frame, we can find harmony between the basic elements which shape each one.
There are some debatable points inside the Bible which fit in the nowadays paranormal beliefs, such as the manifestation of demons and unknown human-like beings cited in many verses, demonic possession, among other points.
I'd go further, many researches, some of them well-known throughout the world, assert that certain unexplained events in the Bible, actually fit inside the "Exopolitics", which is a science that investigates the political implication of non-human life presence in our society, based in many points that I'd like to talk about in detail, unfortunately the subject is quite extensive, so I'll just mark out some of them:
-The Babylonian records, considered as probably the original version of the "Biblical Story of Creation", the records mention high-evolved beings that came to earth from "the sky" and lived with "daughters of men", they taught the humankind about astronomy, agriculture, and other sciences, they were called Nephilim (The fallen mighty ones) in Genesis 6:4.
-In some events, such as the destruction of "Sodom and Gomorrah" the angels are shown human-like, in some moments the citizens of Sodom want to have sex with these beings (which means they were tangible, human-like, and attractive).
- The chariots of fire (Merkabah) in "Ezekiel 1:4-26", where some kind of flying vehicle is described showing similarities with high-technology.
-The demo-possessed of Gadarene (Mark 5:1-9), where Jesus found and healed a man possessed by a legion of demons, among many other points.
In my personal opinion, I believe that the possibility to connect this two things depends on how opened is your mind, because if you are narrow-minded you'll never find these connections, also, if you are really studied in this subjects is easy to realize certain points inside the Bible, that don't have simple explanations, in fact, some of them do not have explanations yet, opening polemic and debate between scholars.