>After Steve tells Bucky not to do anything stupid he hugs him something he didn't do with Sam, the way that I see it, he was saying goodbye
>Bucky tells Steve he is gonna miss him despite the fact that if it went according to plan, he would see Steve come back from the machine 10 seconds later. Steve tells him that it was gonna be alright
>During this whole scene Bucky seems more solemn that the rest even when joking with Cap about him taking the stupid with him, he is really quiet the whole time
>When Steve didn't come back, Bruce and Sam started to panic while Bucky said nothing and almost immediately turned back as to search for him
>When both him and Sam got near him, Bucky told him to go talk to him first and when Cap gave his shield to Sam, he looked at Bucky right away as if to ask him if it was okay and Bucky just nodded, this makes me believe that Cap also told him this
>Both Cap and Bucky were robbed of their former lives, knowing Steve, he undoubtedly would have asked Bucky to come with him.
They could not have made it more obvious that Steve asked Bucky to come with him.