for new sheet do you always mean in excel file extension?
If so I do not think it is possible because, from the tests I have done, solid reads the first sheet with the corresponding useful data.
I did this test: after creating the part and data table with the linked variables I saved the table externally and deleted the inside one to the part. I changed a value in the excel and reset it using the file option and checked that it was updated. at this point in the excel file I created 4 copies of the first sheet (containing the data connected to the part) and in each I deleted something leaving intact the last (in the first I deleted everything, in the second I deleted only the values, in the third I deleted the headers of the columns). at the opening of the part the file is updated by automatically reading the last full sheet of all data.
to further test I made a sheet excel with two sheets with different line header (the line containing values and which recalls the sheet configuration name1=day and sheet2=anselmo) assuming that the sheet containing the configuration name corresponds to the part; opened the file that had its own anselm name on the second sheet loaded the first sheet going to create a new giorgio configuration. on the contrary opening the file giorgio has not been created anselmo configuration
from these summary tests I deduce that it is not possible to create a multisheet data table as only the first useful sheet will be read.
except for what is said above a possible, but laborious, way could be to create an excel master file and then a series of excel files, with the values connected to the master, dedicated to each part.