SPSS statistical software supports export to Excel formats for reporting purpose. However, exporting a template (.cht) does not make much sense, as it probably contain no relevant data, just settings and styles for a new files. You would need to export .sav files or similar output files to actually convert some data.
Convert SPSS template file to Microsoft Excel 97 to 2003 workbook.
We have found one software suitable in our database for this conversion.
Multiplatform software - convert cht to xls on any platform
A statistic and analytic software from IBM
Convert from cht file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.