Many fonts on Typekit support Spanish. You can browse fonts that support Spanish by selecting "Spanish" from the list of supported languages in the sidebar under browse fonts.
Spanish is included in the default option, so the Spanish characters will be available to your website within a few minutes of publishing your kit.
You may also create a custom language subset which includes Spanish, to reduce the size of your kit. The Language Support & Subsetting help page has more information on the character set options.
All fonts that support Spanish include the following letter characters, at minimum: