Can I run Cirq on IBMQ?

This task can be accomplished via cirq.QasmOutput. I've attached an example of how to use the aforementioned functionality to run Cirq circuits on Qiskit's backends.

import cirq 
from typing import Tuple
from qiskit import QuantumCircuit, execute, Aer

def main():
    q0 = cirq.LineQubit(1)  
    cirq_circuit = cirq.Circuit(
        cirq.H(q0),  
        cirq.measure(q0)
    )
    results, qasm_circuit = run_cirq_circuit_on_qiskit(cirq_circuit, (q0,), 'qasm_simulator')
    
    # Returns counts
    counts = results.get_counts(qasm_circuit)
    print("Total count for 00 and 11 are:", counts)
    
def run_cirq_circuit_on_qiskit(circuit: 'cirq.Circuit', qubits: Tuple['cirq.Qid', ...], backend: str):
    qasm_output = cirq.QasmOutput((circuit.all_operations()), qubits)
    qasm_circuit = QuantumCircuit().from_qasm_str(str(qasm_output))
    # Execute the circuit qiskit backend
    job = execute(qasm_circuit, Aer.get_backend(backend), shots=1000)
    # Grab results from the job
    return job.result(), qasm_circuit

if __name__ == '__main__':
    main()