Yes. Readers who still doubted whether God really is impartial toward both Greek and Jew are told in detail about the reverse side of Romans 2:13 in Romans 2:14–16. Within Israel it comes down to a true obedience of the Creator, honouring him, and listening to him. When that is lacking, the Jew loses his claim before God. But the reverse is true too: a non-Jew who reveres God and listens to him has a right to exist before him.
Bell1 acknowledges that one could read Romans 2:14–16 in a positive sense, but thinks that it is precluded by the context. However, he uses the very broad context of Romans 1:18–3:20 and on that basis concludes that Romans 2:14–16 must be limited to a negative pronouncement of judgment (for further detail, see Bell2). Over against Bell’s position, we note that the direct context of Romans 2:14–16 is formed by Romans 2:1–29, and it does indeed detail when God rewards and when he punishes. Therefore, you cannot read Romans 2:14–16 exclusively in a condemnatory sense.3
13 For it is not the hearers of the law who are righteous before God, but the doers of the law who will be justified.