No. It is commonly assumed as "I and other [group]" means that you are part of the group, but not always. It could mean you and other group share the same situation.
"I and other dads, had to wait for the train." are you a Dad? Most likely based on general use, but what if you were just the tour guide for the dads.
"I and other dads, had to wait for the train." are you a Dad? Most likely based on general use, but what if you were just the tour guide for the dads.