It's possible, but only if the user authenticates using an app you develop.
Check out this response:
cache-control: private, max-age=0, must-revalidate, no-transform
content-encoding: gzip
content-length: 255
content-type: application/json; charset=UTF-8
date: Thu, 18 Feb 2016 19:15:40 GMT
etag: "DsOZ7qVJA4mxdTxZeNzis6uE6ck/Oq_w72Shc0Jbz1xT23RTCTTrK_w"
expires: Thu, 18 Feb 2016 19:15:40 GMT
server: GSE
vary: Origin, X-Origin
{
"kind": "youtube#channelListResponse",
"etag": "\"DsOZ7qVJA4mxdTxZeNzis6uE6ck/Oq_w72Shc0Jbz1xT23RTCTTrK_w\"",
"pageInfo": {
"totalResults": 1,
"resultsPerPage": 5
},
"items": [
{
"kind": "youtube#channel",
"etag": "\"DsOZ7qVJA4mxdTxZeNzis6uE6ck/MmJKFbszvNpjgkX8YAJ4HGIfQ5E\"",
"id": "UC_VbgAPtgDGLyRMTEBqzRaA"
}
]
}
You can duplicate this by doing the following:
Visit the URL you provided:
https://developers.google.com/youtube/v3/docs/channels/list
Scroll down to Try it! and input:
Part: contentOwnerDetails
forUsername: scottmillerstyle
Hit Execute. It will ask for authentication and then show you the response.
Here Youtube documents Channel ID = (UC + User ID) https://support.google.com/youtube/answer/3250431?hl=en
So now you know the YouTube user ID is _VbgAPtgDGLyRMTEBqzRaA. So now we have to figure out how to translate YouTube user ID into Google+ ID...
I found this: https://developers.google.com/+/web/api/rest/latest/people/get
This will get Username, Email, Lots of Details from a Google+ ID... But there is nothing left to connect the dots between the YouTube ID and the Google+ ID. Google must deem the connection a security risk. Lets take a look at how I determined this.
Visit this link again:
https://developers.google.com/youtube/v3/docs/channels/list
Scroll down to Try it! and input:
part: contentDetails
mine: true
Hit Execute. It will ask to authenticate and the response will show:
200 OK
- SHOW HEADERS -
{
"kind": "youtube#channelListResponse",
"etag": "\"DsOZ7qVJA4mxdTxZeNzis6uE6ck/KzUqsPYNzzdoMWr6xkZBKK1GNNg\"",
"pageInfo": {
"totalResults": 1,
"resultsPerPage": 1
},
"items": [
{
"kind": "youtube#channel",
"etag": "\"DsOZ7qVJA4mxdTxZeNzis6uE6ck/IR1I4xHnZMxcbo2sT4BipUVBl-Y\"",
"id": "UCkoYb87EdaF5XepEa5EmSgQ",
"contentDetails": {
"relatedPlaylists": {
"likes": "LLkoYb87EdaF5XepEa5EmSgQ",
"favorites": "FLkoYb87EdaF5XepEa5EmSgQ",
"uploads": "UUkoYb87EdaF5XepEa5EmSgQ",
"watchHistory": "HLkoYb87EdaF5XepEa5EmSgQ",
"watchLater": "WLkoYb87EdaF5XepEa5EmSgQ"
},
"googlePlusUserId": "YOUR GOOGLE+ ID! FANTASTIC!"
}
}
]
}
Now try the same thing, but to get scottmillerstyle ID:
part: contentDetails
forUsername: scottmillerstyle
OR
id:UC_VbgAPtgDGLyRMTEBqzRaA
And you get this result with no Google+ ID
200 OK
- SHOW HEADERS -
{
"kind": "youtube#channelListResponse",
"etag": "\"DsOZ7qVJA4mxdTxZeNzis6uE6ck/zi31_NL3JJhpDcdJWbxbZE-0Ik8\"",
"pageInfo": {
"totalResults": 1,
"resultsPerPage": 1
},
"items": [
{
"kind": "youtube#channel",
"etag": "\"DsOZ7qVJA4mxdTxZeNzis6uE6ck/8iJ_z543bWUuMxbs2hC_VTdTvZI\"",
"id": "UC_VbgAPtgDGLyRMTEBqzRaA",
"contentDetails": {
"relatedPlaylists": {
"likes": "LL_VbgAPtgDGLyRMTEBqzRaA",
"uploads": "UU_VbgAPtgDGLyRMTEBqzRaA"
}
}
}
]
}