Yes, none at all. You could even do a close flyby of the Sun and feel nothing, so long as you can protect yourself from the solar radiation.

There are tidal effects, but those would be too small to notice on a small spacecraft. If it was a big object, kilometers across, like a Stanford Torus, say, then it would stress it to get too close because of the tidal effects. Comets break up when they get too close to Jupiter for this reason.

This is Comet Shoemaker–Levy 9 which they think broke up as a result of a close flyby of Jupiter within 40,000 km of its cloud tops in 1992 Jupiter orbiting comet (though it was only discovered in 1993 so that’s by tracing its orbit back), orbited it for several years, and then finally crashed into it in 1994.

This shows the effects of the crash into Jupiter.

Juno came within 5,000 kilometers of the cloud tops so would have experienced much more by way of tidal forces than this, but then it is also far smaller - and would surely be engineered to withstand whatever the tidal stresses were which I wouldn’t have thought would be much on such a small spacecraft. NASA's Juno Spacecraft Breaks Solar Power Distance Record