NO. Every mobile user should have their own username and password for data integrity purposes on multiple levels.
1. Salesforce can automatically log out users when multiple sessions are detected. A log out due to security issues will not sync the data on the device to Salesforce before signing out the user. If any other user logs back into TaroWorks, all data associated with the previous user will be removed from the device for security purposes.
2. This a contract violation with Salesforce. TaroWorks users are also Salesforce users and have Salesforce licences to use and operate both systems. Sharing user accounts means sharing licenses and this contravenes your Salesforce master agreement. See article 4.2 of Salesforce Master Subscription Agreement