This claim is not necessarily false, but there is a lot of gray area. The PBS report indicates that Ukraine has resorted to severe measures when dealing with men who are hiding from the draft. This is where the gray area is because it does not imply that Ukraine is simply kidnapping men off the streets. This report is mostly concerned with making sure the draft dodgers are following the wartime military rules, while describing these cases as kidnappings makes the situation seem worse than it actually is.
The BBC report is another example of misleading information because there are a few extreme cases that are used to make it seem like this occurs to all Ukrainian men. There is a difference between being forced to serve under wartime draft and being kidnapped, so describing the entire system as kidnapping leaves out many important details.
Al Jazeera does support that some Ukrainian recruitment officers have used aggressive and abusive tactics, so those problems should not be ignored. However, the article also shows a larger problem with recruitment. There have been attacks on recruitment officers and draft evasion, meaning the situation is more complicated than simply saying Ukraine is "kidnapping" men to fight in the war.
Overall, these news outlets show that Ukraine has used aggressive and sometimes abusive ways to recruit men for the war, but accusing the whole system of "kidnapping" is exaggerated and misleading. The evidence shows only specific cases of forced recruitment, rather than proving that Ukraine kidnaps every single man and sends them right into war.