I need to conduct a Regression analysis with 2 IV's and 4 DV's, I was wondering if this is something that is possible?

I want to test out a model that proposes that there will be a relationship between IV one and the 4 DV's and that relationship will change with the presence of the second IV, an interaction effect.

I have been told that it should be possible to conduct such an analysis using a regression model. Is anyone able to advise on types of analyses I could use?