Products of the reaction between chromium(III) chloride, zinc and sulfuric acid
I know that chromium(III) reduces to chromium(II), but I'm not sure about the reaction. Would it be $$\ce{CrCl3·6H2O + Zn -&gt; Cr(H2O)6Cl2 + ZnCl + H2}?$$


Your concept is right and I am glad nobody taught you the concept of nascent hydrogen. It is an obsolete idea of the 1920-40s. Please don't use it anywhere. Wikipedia has a nice summary https://en.wikipedia.org/wiki/Nascent_hydrogen and of course there are several articles which negate this very concept.

You can just simply write the ionic equation involving Cr(III), Zn, resulting in Cr(II) and Zn(II). Hydrogen is just a side-product, which is not participating in the reaction. Write the conditions over the arrow. 

Alternatively, write the aquated forms as a complex. Your current equation has incorrect formula of zinc salt. Check what it should be!