Of course.
Lawyer's analysis
You can get a refund if you negotiate with the beauty salon.
If you can refund the fee when signing the beauty contract, you can refund the fee.
Because the contract is binding on both parties, both parties should fully perform their obligations as agreed. If they perform their obligations according to the contract, it may constitute a breach of contract and bear the corresponding liability for breach of contract.
legal ground
Article 509 of the Civil Code
Both parties shall fully perform their respective obligations in accordance with the agreement.
The parties shall abide by the principle of good faith and fulfill the obligations of notification, assistance and confidentiality according to the nature, purpose and trading habits of the contract.
During the performance of the contract, the parties shall avoid wasting resources, polluting the environment and destroying the ecology.