Is it possible to have multiple methods with the same “core” type signature be overloaded based on the where clause constraints?

For example, ideally I’d like to have these two functions:

class DateWriter {
    public void Write<K,V>(string key, Dictionary<K,V> data) 
        where K : ISerializable
        where V : ISerializable { ... }
    public void Write<K,V>(string key, Dictionary<K,V> data) 
        where K : Enum, IConvertible
        where V : ISerializable { ... }
}

As is, this results in error CS0111: Type 'DataWriter' already defines a member called 'Write' with the same parameter types. This indicates it isn’t possible, but I’d like to get either confirmation that it isn’t, or the syntax that would make it work.