Yes, but we wouldn’t recommend it. While there are no free dedicated business password managers that are worth writing about, your staff could potentially sign up for personal password managers individually with free services.
While this would mitigate some of the issues around lost passwords, and potentially save your company the odd headache here and there, it’s simply not worth it in the long run. The lack of central oversight of your employees details could lead to issues, and should a member of staff leave the company, they could potentially take their login details with them via their password manager.
Business password managers are bespoke services that are tailor made for your exact needs, and cost as little as a couple of dollars a month per user. If you want to take your company’s security seriously, it’s a worthwhile investment that will ensure you peace of mind.