Yes, absolutely.
Your parents (or another person/company) can pay the service fee and deposit for you. This is very common.
Even if your parents pay:
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you are still the tenant,
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you sign the Tenancy Agreement (if you are an adult), and
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you are responsible for rent, utilities, cleaning and behaviour in the property.
The person who pays is helping you financially, but the legal responsibility for the tenancy stays with you.