Sure we do, anticipation, expectation, anxiety, fear are all feelings we have before we jump out of an aeroplane for the first time with a parachute on our backs.
So someone that never jumped out of an aeroplane with a parachute knows what it feels like to jump out of an aeroplane with a parachute before they actually feel what it feels like? How?
It is a trivial ability of humans which developed through evolution. No magic there. You computationalists should study biology sometime, you might learn something instead of assuming everything that is not about computers is magic.
Yes, your wording "feel the future" is the problem with your statement.
Let's use the word "predict," and without any assumption of supernatural prophesy.
Computers predict the future by extrapolating from the past. Video game characters can easily predict where you will be in a moment and shoot at where you will be rather than where you are. Of course, an opponent can change course, and there are algorithms to make predictions there.
And has been pointed out, in games from tic-tac-toe to chess, computers routinely anticipate future positions to decide where to move.
We call this "feeling" because this work of our neural networks is done subconsciously ( not leaving traces of how the data processing was performed in our conscious memory). The result comes to us as a feeling.
There's a famous story of a psychiatrist who, even though he hadn't seen a particular patient in over a year, started to get a feeling of concern and called the patient. Sure enough, the patient was having sudden serious emotional difficulties. The psychiatrist at first wondered if he was psychic, then realized the day was the anniversary of this patient's extremely traumatic experience of a prior year. In the patient and the psychiatrist, that day subconsciously triggered a "feeling" about trouble. The data processing connecting the date with the patient's distress was not at the conscious level.
So it goes with "feeling the future." Feelings like that come from unconscious data processing. Indeed, the vast majority of what the brain does is subconscious.
If we wanted to make machines "feel the future" we'd build separate subsystems that would take in the information they needed, make predictions, and feed only the results to the conscious module. No magic bean needed.
This one was a breeze. I feel you'll want to hit me with another one.