yes, you can.
Create an account https://developer.servicenow.com/app.do#!/dashboard
They will give you a development instance which you can use for your development purposes you can even activate various plugins without paying any money.
This instance will remain active as long as you login at least once every 14 days.
If you have not logged until 14 days it will go back to the pool of available instance anyways you can again ask for a new instance
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