No, not really. If the market is efficient, the price of a given security isn't dependent on whether or not you've invested in it. Your conscience is clear in that you haven't profited from <whatever> but you haven't affected anything.
Investment can be like voting in the sense that you can vote your shares, or even take legal action, as an investor and perhaps cause change that way. Sadly there's no way right now to do this if you own shares in an index fund.