Not without an inappropriate amount of delta v, it takes effort to hit the sun from the earth. Iirc it’s less energy to yeet yourself out of the solar system from earth than to hit the sun. Direct be even crazier amounts of energy to cancel out our orbital velocity. Iirc it would be easier to do a Jupiter transfer to save on delta v, going direct though is clown town energy waste unless you have some dying need to get there faster for some reason. But you’ll pay for it, a lot, least until we get warp drives or something neato exotic. https://issfd.org/ISSFD_2014/ISSFD24_Paper_S6-5_jehn.pdf If you’re willing to trade time there are less costly ways to “hit” a 700 000 km radius target energy wise.

That's not true either, it takes way more energy to drop your orbit the further out you are, regardless of eccentricity. It's easier to curcularize near apoapsis, easier to change apoapsis and orbital planes at periapsis. The trick, however, is that bonus from periapsis works on being at any periapsis (ie, a near miss of a planet), just need the speed boost from being nearest the gravity well. That's what gravitational slingshots are. I think a sun trajectory uses Jupiter a few times for maneuvers.