Rocking apple tree

I have a youngish apple tree that is not very stable in the soil and is easily moving when gently rocked, it is also leaning. Other than this it’s reasonably healthy. I inherited the tree when I moved here 3.5 years back. The tree is staked but not very well imo. 
Would it be possible to remove from the ground and re set and stake more appropriately or best to remove all together and replace?
Not sure what variety is, looks golden delicious type.