Are there any "ionic" intermolecular forces?

No, there are no "ionic" intermolecular forces.

The term "intermolecular forces" means forces between molecules. Ionic compounds consists of opposite ions. Ionic compounds do not contain molecule, and thus there is no intermolecular forces in ionic compounds.

In ionic compounds, the opposite ions are held together by strong electrostatic forces.

NO!!!

Not "officially". There are no "ionic" forces used in classifying intermolecular forces along with hydrogen bonding, dispersion, dipoles (van der Waals), but the closest might be what are referred to as coulombic forces or coulombic attractions.