No, AppleScript isn't supported on iOS.
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If there is a specific third-party app you want to launch you can potentially open it using the app's custom URL scheme. If the app supports receiving data, then you can use their URL scheme to do so. This website has a list of supported third-party URL schemes. If this is your own app, then you can create your own scheme and handle it. See here for more information on creating your own scheme.
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