No. Most English speakers can't produce that "u" sound, is my experience. One of our dogs is named Yuki. But it's not pronounced Yooki, the u is very much like the u in sju.
All languages: Let's make sure our words for counting are short.
All languages: Yeah, that's a great idea!
Finnish: *knocked out by too much Koskenkorva*
Which is why I'm sad that all Swedes think all foreign languages use German 'u'._.
All languages: Yeah, that's a great idea!
Finnish: *knocked out by too much Koskenkorva*