Yes. The NRA should have absolutely no say whatsoever on what research should be allowed not allowed. They only object because they are afraid that the results of such research will not be favorable to their position.
I say, allow the research to be done... only those with something to hide or who are afraid the results won't favour them, are opposed to research.
Research and examples show that ease of firearms access and lack of firearms control directly correlates with the level of gun crime and violence. The USA is an outlier in ease of access, an outlier in lack of gun control and an outlier on the level of gun violence. It can easily be shown (in fact, it has been repeatedly shows on this forum) that, almost without exception, every country that has strict gun control and more difficult access to firearms have lower levels of gun violence.