Superscore Question?

To understand what I am trying to say, here’s a scenario:

Let’s say I take the SAT with Essay
700 Math
720 Reading/Writing
8/8/8 Essay

In an effort to increase my SAT score, I take the SAT again WITHOUT essay
720 Math
730 Reading/Writing

The university I want to apply to strongly recommends submitting the SAT Essay (although not required). Is it possible to “superscore” or at least add on my SAT Essay from the previous test to the SAT without Essay even though they are both different test types?