Unfortunately, yes, these are side effects of humira. Cold and flu symptoms are listed as common. From drugs.com: Common side effects of Humira include: upper respiratory tract infection, headache, injection site reaction, skin rash, antibody development, sinusitis, and pain at injection site. Other side effects include: urinary tract infection, abdominal pain, and flu-like symptoms. https://www.drugs.com/sfx/humira-side-effects.html I'd tell your doctor you are experiencing this.
I have had flu like symptoms from Humira before. One thing that helps me is I make sure I drink A LOT of water the day before and leading up to injection.