Yes. You can set ICQ to auto-accept files from a friend on your contact list.
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From Menu, select My tools > Settings.
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In the Settings window, click File transfer in the Messaging tab in the left pane, .
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In the right pane, click the Set per contact link.

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From the Don't auto-accept pane, select the friend for which you want to automatically accept files and click the left pointing arrows button; The name now appears in the Auto-accept pane.

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Click OK to close the Set per contact window, then click OK to close the Settings window.