Yes, вносить/внести - to carry smth. into smth.; вводить/ввести - to lead smb. into smth. Also it can mean to introduce (to add smth. to smth.), to inject and some other meanings. They are different meaning of the same word.
Many words in all languages have a set of meanings rather than 1 exact meaning.
'я вношу предложение'
Вводить and вносить can both mean "to introduce" but they are not interchangeable. Вносить as "to introduce" means "to bring to someone's consideration", to propose. Вводить as "to introduce" means that introduced object will be put in action as a matter of fact, the decision is already made.
Overall: вести - the object is active; нести - the object is passive.