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Not in the sense that they are used as dedicated inductors, but bypass and coupling capacitors may be used above SRF and you'll consider the inductance in circuit modelling.
Inductance of chip capacitors is essentially package plus pad inductance, amount depends on where you set the reference plane. In so far they are not "designed as inductors" but bring unavoidable parasitic inductance.
The main reason of not using capacitors above SRF (inductive region) is because above that point their Q become ridiculous low. Sometimes, hundreds of times lower than in capacitive region.
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