Skype users should not be able to determine if they have been blocked by a certain contact, but there may be ways to do it, you can visit the link below about a similar discussion -
I know there are alot of archived conversations and suggested solutions to this, but I'm unsure if they apply to the latest version of skype as most of the posts were 2+ years ago and skype has changed a lot since then.
I am able to see this particular contacts profile pic, and some profile details, but they are always invisible with the empty speech bubble (and used to always be available with the green dot).
There are suggestions to right click on the name and send a voice mail (I do have voicemail enabled btw) but this is not an option with the latest version of skype. Can you suggest any way of telling if I am blocked or deleted or they are just never logged onto skype anymore?