Yes. The orbits are ellipses, with one focus occupied by the sun. The location in space of the perihelion of each planet shifts along a circle whose radius is the parahelion distance, by an amount that depends on how close the planet is to the sun. The precession rates, in seconds of arc per century, are as follows:
Planet Total rate Part due to general relativity Mercury...............5599 43.0 Venus.................5069 8.6 Earth.................6189 3.84 Mars..................6627 1.35 Jupiter...............5800 0.06 Saturn................7053 Uranus................5846 Neptune...............3161Now, these numbers all include a contribution of 5000 arcseconds per century which is the 'precession of the equinoxes' of the Earth which causes our sky coordinate system to shift and has nothing to do with the actual perihelion shift itself. This should be subtracted from each of the numbers above.