Could diet changes get rid of my eczema?

Not likely: There is evidence to suggest that moderate/severe eczema in early childhood could be worsened by certain foods (usually highly allergenic foods like peanut, tree nuts, milk, eggs, etc.). Food triggers are not usually an issue with adult eczema. If you notice a consist pattern of worsening eczema with a particular food then by all means avoid it. Change in diet will definitely not cure eczema.