Comments below How much less delta-v would it take to reach the Sun using Venus and Earth flyby's compared to direct? tend to suggest that one way to send a spacecraft into the Sun (either straight in or in an orbit so tight that it touches the Sun's photosphere) would be to get to Jupiter and use a gravitational assist there.
Ulysses used Jupiter to enter into a polar heliocentric orbit, but that was basically a "right angle turn". Traveling from Earth or Venus to Jupiter, then heading into the Sun is a lot closer to 180 degrees.
Question: Is this trajectory possible, or is the turn so tight that it intercepts the surface of Jupiter? Please use math or show a believable simulation or an analogous actual trajectory; don't just say "yes, it is". Thanks!
Orbits of Earth (green, small), Jupiter (red, large), and Ulysses (blue, vertical) from JPL's Horizons.