Question about Sony E 35mm f/1.8 OSS

Yes it fits. I use the a6300 with this lens. The crucial thing is that the lens bayonet fits (which is given: E-mount). I am very satisfied with the lens.

Just as an aside: in addition to the lens bayonet, the sensor size is another factor you should keep in mind. In this case it fits: the Sony Alpha a6000, as well as this lens, are designed for APS-C sensors. So everything is OK.
But there are also full-frame cameras / lenses (e.g. the Sony Alpha 7; and Sony FE lenses). Here, however, it is possible to combine a full-frame lens with an APS-C camera, or even vice versa. There are various advantages and disadvantages, but then it goes into a bit of detail. In short: it's often not ideal, but still possible.