Can a good teacher influence how well you enjoy learning a language?

 the teacher has a big role in these case because language is a large world  

Definitely. The skills, mode of delivery and their enthusiasm to teach the subject has a very strong correlation with the student's ability to learn it.

Yes ..as the saying goes :

“Children don't remember what you try to teach them. They remember what you are.” ― Jim Henson, It's Not Easy Being Green: And Other Things to Consider

If Children enjoy learning with you they will learn to enjoy the language too and will pick up the language fast as they will keep thinking of you and what you said to them.

YES BUT ALSO IT DEPENDS IF AM INTERESTED IN WHAT HE IS TEACHING

To an extend yes a good teacher can influence enjoy in learning a language but moreover its our own interest also matters