The simple answer is no...
Flat out asking for a review rarely works. Response rates are very low. It is like asking for praise... people see it as plain weird. Or even a touch desperate...
Ask For Feedback
Instead, ask for your customer's feedback and have providing a "review" a subtle option in the background. People who are truly thrilled with your service or product will want to give you a great review without directly asking for it.
How To Ask For Reviews
This is the way TrustBuilder feedback request system works. It asks for feedback first and then asks if the customer would like to provide a review from one of three different third party review websites. You can select which third party review websites you want your customers to leave reviews.