No, symsum has no possibility of excluding a particular value from the indices.
You can take the symsum and subtract off the value when the indices are those unwanted ones.
However, symsum() is not really the right tool to use when you have a known list of indices (in this case, 1 to 10), as symsum() is intended for finding theoretical formulae, such as converting the taylor expansion of exp(x) back into exp(x) . When you have indexing of elements to do, then symsum() can never be used, as it is not possible to index an array at symbolic locations.
For fixed sets of indices, you should be calculating the values individually, and adding them together. You can typically do that in a vectorized fashion. For example, instead of
syms x
symsum( x*(x+1), x, 1, 20 )
you would
sum((1:20).*(2:21))
or
sum( arrayfun(@(x) x.*(x+1), 1:20 ) )
If you used that last form you could exclude values, such as
sum( arrayfun(@(x) x.*(x+1), setdiff(1:20, 7) ) )
to skip the 7*8 term
