Yes, you can camp in Snæfellsnes Peninsula, but only in designated camping sites. The harbor town of Stykkishólmur (the capital of Snæfellsnes) has many pitches for tents and a service building with showers and toilets. There are also good camping grounds in the towns of Grundafjörður, Ólafsvík, and Hellissandur.Keep in mind that camping in Snæfellsjökull National Park is not allowed. However, you can pitch your tent in the nearby town of Arnarstapi.