I know you are trying to helpful but it does say exactly what I mean in the title.
No. It does not.
Words have meaning. Use the right words, and you can convey your thoughts. Use the wrong words, and people won't understand you.
A SHA-256 hash is HEXADECIMAL
A SHA256 hash is an integer. It can be represented as a decimal, a hexadecimal, a binary, an octal, or any other radix you like.
Hexadecimal is one common method of displaying the integer results of a SHA256 hash.
& Yes it represents a bitcoin address, 2, in fact....
No.
A SHA256 hash is a 256 bit digest that represents the input data.
A bitcoin private key is also a 256 bit integer. It also can be represented as a decimal, a hexadecimal, a binary, an octal, or even WIF.
However:
the maximum SHA256 value is: 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF
the maximum valid Bitcoin Private key is: 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364140
So, not all SHA256 hash values are valid Bitcoin private keys.
Also note. Your posted image states "Private Key Hexadecimal Format", you are mistaken to call it a "SHA256 hash".
Finally, it is NOT an address at all. The addresses in your pasted image are:
1Cy7oiyrGzHaz9JVinnMe6UXZApR4nw5et (Uncompressed)
1KaDXeEAMEnm3nEpDzd88DmaxKApxUFZQx (Compressed)
If you only have either of those addresses, then it is not possible to generate the private key.
So, what you appear to have (based on your image, and what I can make of your misunderstanding of how to use your words) is a set of PRIVATE KEYS in Hexadecimal format, and what you want to do is represent that private key in both compressed WIF and uncompressed WIF?
If that is so,
then you can probably pay someone to create such a program for you. It would be pretty easy to create,
but there aren't many that will do it for free.
EDIT: It looks like such an open source tool exists. See LoyceV post below.