The question remains - can this be fixed?
Well, it could be fixed. It would not require a Constitutional amendment to get rid of gerrymandering for seats in the House - all it would take is for the House to either stop requiring single-member districts (leaving the states free to experiment with other options for electing Representatives) or for them to change the rules by which such districts are drawn so that they can no longer be drawn for partisan advantage. But don't count on Congress to do what is necessary to fix it. After all, gerrymandering protects the incumbents. You shouldn't expect them to change the rules to their own detriment.
Nor would I bet on a Constitutional Amendment to fix it. It would require two-thirds of both Houses of Congress to pass the Amendment. If you can't get a simple majority to change the rules, I doubt you can get a two-thirds super-majority to do so, either. And as for calling a Constitutional Convention, no thanks - nobody wants to open that can of worms.
However, the Constitution may contains the wording needed to get a Supreme Court ruling to end partisan gerrymandering. In Article I, Section 2, we find this:
The House of Representatives shall be composed of members chosen every second year by the people of the several statesI think a case could be made that partisan gerrymandering violates this wording, since the vote of the people is pointless when the state legislatures have already chosen the party that will win the district. Sadly, no group is attempting to challenge gerrymandering on these grounds.
The Fourteenth Amendment, Section 1, says this:
No state shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United StatesI think it could be equally argued that partisan gerrymandering is a case of the states enforcing a law (specifically, the Apportionment Act of 1967) that abridges the privileges of the citizens. Whether either of these is a legally-valid argument is a question for lawyers - I have no skill at counting the angels that dance on the head of a pin. But I would certainly like to see someone (the ACLU, perhaps) give it a try.