Yes, neutralization and precipitation reaction is double displacement reactions. These two reactions are types of double displacement reaction.
A neutralization reaction is a double displacement reaction taking place between the acids and the bases. The reaction between vinegar and baking soda is an example of a neutralization reaction. This reaction is used in explaining how do volcanoes erupt.
A precipitation reaction is a double displacement reaction taking place between two aqueous ionic compounds which forms a new insoluble ionic compound. The reaction between lead(II) nitrate and potassium iodide is an example of a precipitation reaction.
Other types of displacement reactions are:
- Acid-carbonate reactions
- Counter-ion exchange