First, dissociate the salt into ions:
ZnF2(aq) → Zn2+(aq) + 2 F–(aq)
Check the cation for hydrolysis:
Zn2+(aq) + 2 H2O(l) → ← ZnOH+(aq) + H3O+(aq)
Yes, the reaction does occur because ZnOH+ is a weak base.
Check the anion for hydrolysis:
F–(aq) + H2O(l) → ← HF(aq) + OH–(aq)
This reaction does occur because HF is a weak acid.