Sure you can. If the receiver is solid state, it will produce a little more power into 6 ohms that it will into 8 ohms. If the receiver is tube or has separate 4, 8, and 16 ohm outputs (unlikely but possible) hook it to the 4 ohm outputs.
Speakers (with very very few exceptions) present a reactive load, not a resistive load to the amp. The ohm rating of a speaker is kind of a gentleman's agreement that the speaker is around 8 ohms some of the time. In actuality, an 8 ohm speaker probably runs between 5 and 50 ohms depending on the frequency. The 6 ohm will be a little less maybe depending on how it was rated.
That said, here's the "but". I would not run a second pair of speakers on the receiver at the same time. If you hook up a second pair, just don't play them at the same time.