Professionally, Ant-Man and the Wasp are partners. But personally? The two have a very complicated relationship. Although they both have feelings for each other, Hank refuses to let it go further in the comics.
In one comics storyline, a new crime-fighter called Yellowjacket breaks into the Avengers headquarters claiming to have gotten rid of Hank and kidnapped Janet. To the dismay of her teammates, Janet marries Yellowjacket, but it isn't until their wedding day that it's discovered the crime-fighter was actually Hank all along. Turns out, he had an incident with some chemicals that left him with a severe case of schizophrenia. Janet knows this and takes advantage so she and Hank can finally get married. (Damn, Janet!)
Sadly, Hank's mental breakdown continues — he actually stages an attack on the Avengers which only he can stop, in order to make himself look good. Naturally it completely backfires. Hank is expelled from the group and Janet divorces him. Years later, Pym's mental state gets better, so he and Janet become friends before eventually getting back together.