Would it be OK to in-text cite a paper without mentioning the name and year explicitly in APA?
I think this is covered in the APA style blog. The example they give boils down to instead of using


  This idea was recently explored by Palladino and Wade (2010). Palladino and Wade’s (2010) results indicate that “a flexible mind is a healthy mind” (p. 147).


you can write:


  This idea was recently explored by Palladino and Wade (2010). They noted that "a flexible mind is a healthy mind" (Palladino &amp; Wade, 2010, p. 147).


So yes, you need to give the full names and year of the reference in the body of the text.