sure it is. maybe your prof is doing this so you can see the connection because Psychology has a tradition of teaching ANOVA and Regression as if they were separate things (cue in Cronbach's 1957 article on the 2 disciplines of scientific psychology) but the emphasis on teaching methods courses has lately been on helping students see the connections (like ANOVA is a special type of multiple regression, the general linear model is a specific instance of the generalIZED linear models and they're all specific instances of structural equation models which is itself a family of techniques under the umbrella of latent variable models).
anyhoo, just make sure you code your things correctly (remember you always need one code less because one of the levels of the factor becomes the reference) and you're good to go.
