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Is it possible to add the generators of dilatations to Poincare superalgebra in any dimensions with any number of supercharges without adding the full superconformal generators?

I have only seen superconformal algebras so far but never a Weyl-SUSY algebra that is the bosonic sector only consists of $\{P_a, J_{ab}, D, \text{R-symmetry generator}\}$ but not the generators of special conformal symmetry $\{K_a\}$.

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Unitary scale invariant theories are either conformal or indistinguishable from conformal theories on $\mathbf{R}^4$. This means that, for all practical purposes, scale invariance and unitarity imply conformality.

For review see slides "Scale and Conformal Invariance" by Zohar Komargodski.

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