Yes, they have. The BLS actually tracks a number of different "unemployment" numbers, whose definition you see here [0].
The "official" unemployment number, the one now reported as 4.4%, basically only counts the "percent of people actively looking for work that can't find it, who have been looking for work for more that 15 weeks.
The number you are trying to capture is what the BLS calls "U-6". That number is defined as:
> total unemployed, plus all marginally attached workers, plus total employed part time for economic reasons, as a percent of the civilian labor force plus all marginally attached workers.
In other words, anyone that would like more work but can't get it. I encourage you to read the entire definition and footnotes at the link I shared. It's very interesting!
Right now U-6 is at 8%. During the 2007 recession it peaked at about 17%. [1]
[0]: https://www.bls.gov/lau/stalt.htm
[1]: https://fred.stlouisfed.org/series/U6RATE
