Based on my knowledge, it is impossible. As junnas said, even you use user/password authentication, client id is also required.
It is easy for you to create a service principal on Azure, you could check this link.
After the sp is created, you will get the client id, client secret. You also need give the sp Owner
role on subscription, you could check this link.
Now, you could use the sp to call rest api in Power Shell, for example.
##get token
$TENANTID=""
$APPID=""
$PASSWORD=""
$result=Invoke-RestMethod -Uri https://login.microsoftonline.com/$TENANTID/oauth2/token?api-version=1.0 -Method Post -Body @{"grant_type" = "client_credentials"; "resource" = "https://management.core.windows.net/"; "client_id" = "$APPID"; "client_secret" = "$PASSWORD" }
$token=$result.access_token
##set subscriptionId and resource group name
$subscriptionId=""
$resourcegroupname="shui5"
$Headers=@{
'authorization'="Bearer $token"
'host'="management.azure.com"
'contentype'='application/json'
}
$body='{
"location": "northeurope",
"tags": {
"tagname1": "test-tag"
}
}'
Invoke-RestMethod -Uri "https://management.azure.com/subscriptions/$subscriptionId/resourcegroups/${resourcegroupname}?api-version=2015-01-01" -Headers $Headers -Method PUT -Body $body