In short, yes. Or, I believe you can do this, and I can think of two methods. The first is to just grade the quiz as if it were a TOEIC. I'm not sure what TOEIC actually is, but if you don't necessarily care if they have some other score (a 71 out of 100, in your example), just change the total score for the quiz to be the total grade for a TOEIC. For instance, if 400 is the total for the reading section of a TOEIC (I'm guessing), then make the total possible score for the reading quiz to be 400.
The second option I know would be possible but I'm not sure how exactly how to do it. Essentially you could, I think, use the calculator features of the gradebook to perform a conversion on that item. I think you go into the Gradebook > Grader Settings menu > Categories and Items > Full View , then create a grade item at the bottom that would be called "TOIEC Verbal Equivalent Score" or something like that. Make the max score for that item the max score for a TOIEC item. Then, in the grader report, all of the way to the right is a Calculator icon. Click that. Iin this screen, you need to add variables first (name the Verbal quiz something like VQ1). Click add variables. This will give you a variable called VQ1. Then in the window at the top, you would put in =VQ1*4.78 (or whatever the conversion between the two grades is -- you put it in as an equation like you would put it in Excel). Click save. From that point on there will be an item in your gradebook called "TOEIC Equivalent Verbal Score" or whatever that will display the equivalent score based on a math equation. From there the last thing you need to do is make sure that that item is not used to calculate the total score for the class. It needs to be displayed in the grader report, but just displayed, not used in any calculation. Off the top of my head, I'm not sure exactly how to do that, and it will really depend on how you're Aggregating your scores into a final grade (if it's a weighted mean, for instance, you could just make the weight for those scores 0...it would be different for other Aggregation methods).
Hope that helps!