In a recent interview with Gaming Trends, Douglas Bogart of Limited Run Games was asked about the Switch. More specifically, he was asked when and if we can expect to see Limited Run Games bring physical versions of digital games to the Switch.
Bogart responded by saying that LRG is currently working on getting onto the Switch. He noted that they have tentative plans to have their first game released this Summer on the Switch
What is noteworthy, is that the interview was about the game Battle Princess Madelyn. However, Limited Run Games did not say if that was the game they would publishing physically.