Is there any symbol for Alternate action switch?
No. A schematic diagram is concerned only with the electrical behavior of the switch &mdash; which sets of contacts are connected in what patterns, such as SPST, DPDT, etc.

The mechanical behavior of the switch is outside the scope of the schematic diagram, so there's no specific symbology associated with it, other than to perhaps put some sort of text note near the electrical symbol. The actual switch is specified in the Bill of Materials (BOM), usually with a specific manufacturer and part number, or a description of the relevant features if a specific part has not yet been selected.