Short answer. Yes, potentially. Rule 59, Section 1 allows a receiver to be appointed after judgment "to aid execution when the execution has been returned unsatisfied or the judgment obligor refuses to apply his property in satisfaction of the judgment." A judgment obligor's refusal to cooperate is expressly one of the grounds this covers.
What the law says
After judgment, to preserve the property during the pendency of an appeal, or to dispose of it according to the judgment, or to aid execution when the execution has been returned unsatisfied or the judgment obligor refuses to apply his property in satisfaction of the judgment, or otherwise to carry the judgment into effect
Rule 59, Section 1 — Appointment of receiver. Read the full provision →
What Rule 59, Section 1 provides after judgment
Rule 59, Section 1 lists appointing a receiver to aid execution as one of the recognized after-judgment purposes: "After judgment, to preserve the property during the pendency of an appeal, or to dispose of it according to the judgment, or to aid execution when the execution has been returned unsatisfied or the judgment obligor refuses to apply his property in satisfaction of the judgment, or otherwise to carry the judgment into effect." Your situation — a judgment obligor who won't cooperate — is named directly in that sentence.
Why this ground fits your situation specifically
The clause "the judgment obligor refuses to apply his property in satisfaction of the judgment" describes precisely a losing party who won't cooperate with execution. That is a distinct trigger from the execution simply having been returned unsatisfied — it covers the situation where the property may well be available, but the obligor is refusing to apply it toward paying what the judgment requires, which is what a receiver appointed under this provision would be positioned to address.
The other purposes this same clause covers
The same sentence covers other after-judgment scenarios too — preserving property while an appeal is pending, disposing of property according to the judgment, and more generally carrying the judgment into effect. Receivership to aid execution against an uncooperative obligor is one purpose among several the article groups together under "after judgment," alongside separate, earlier-listed grounds for appointing a receiver before judgment is even reached, in actions involving a disputed interest in property or a mortgage foreclosure.
The appointment is still discretionary, not automatic
The article opens by saying a receiver "may be appointed" upon a verified application — not that one will automatically be appointed whenever a listed ground exists. Meeting the "judgment obligor refuses to cooperate" description makes a receiver available as a remedy the court can grant; it does not remove the court's role in weighing the verified application, and whatever proof the court requires, before actually making the appointment.