To have a cream that you can pump it will need to contain water to make it thin enought to pass through the pump. Water is a great medium for bacteria to grow and multiply quickly, so, you NEED a preservative. Now there are NO true natural preservatives. The companies that tout their products as being all natural will ALL contain SOME form of preservative that may be derived from nature, but have been refin or process to the point that they are no longer truly all natural. Grapefruit seed extract is a good example. It sounds very natural, but it's not. Some oils like rosemary, have natural antibacterial properties, but none are strong enough. Some oils, like vitamin E, are antioxidants and will help keep the oils in the lotion from going rancid, but they do not prevent bacteria growth.