No, according to the legislation in force the money that you spend on the fee can’t be recovered. Moreover, if you opted out of applying for an administrative review and decided to re-apply, you will have to pay the fee again.
It is not a good idea to correct the initial application, add documents which have been omitted and apply for an administrative review denying any changes in an attempt to economise. This may result in you being banned for 10 years.
On the other hand, you still might be able to get back some of the money you spent. For example, the immigration health surcharge (IHS), medical insurance fee that every prospective resident is obliged to pay, can be recovered.