Yes, you can style short curly wig with heat tools, but it depends on the type of short curly wig you have.

Human Hair Wigs
Human hair short curly wig can be styled with heat tools just like natural hair. They can withstand higher temperatures and offer a lot of versatility in styling. When using heat tools on human hair wigs, it's recommended to keep the temperature between 250°F and 300°F (121°C–149°C) for curling and 300°F–350°F (149°C–177°C) for straightening. Always use a heat protectant spray to prevent damage.

Heat-Resistant Synthetic Wigs
Heat-resistant synthetic short curly wig are designed to withstand heat from styling tools. These wigs can typically handle temperatures up to 300°F (150°C). When styling, use low to medium heat settings and always apply a heat protectant spray. For curling, set the curling iron to a moderate heat, usually between 200°F and 250°F (93°C–121°C). For straightening, keep the temperature between 250°F and 300°F (121°C–149°C).

Standard Synthetic Wigs
Standard synthetic short curly wig are not designed to withstand heat and can be permanently damaged if exposed to high temperatures. These wigs are pre-styled and should be maintained using cold styling methods such as rollers or braiding.

Tips for Styling
- Preparation: Ensure the wig is clean and dry before styling. Use a wide-tooth comb to detangle the wig.
- Sectioning: Work in small sections to ensure even heat distribution and better control.
- Cooling: Allow the wig to cool completely after styling to help the fibers retain their shape.
- Avoid Over-Styling: Limit the use of heat tools to prevent long-term damage.

By following these guidelines, you can safely style your short curly wig with heat tools and achieve the look you desire without damaging the fibers.