Short answer
Yes, education and profession can be relevant to compatibility, but they should not become measures of a person's human or religious worth.
Islamic Guidance
What Islam teaches
Islam values beneficial knowledge and responsible work while emphasizing character and piety rather than worldly status.
Practical Guidance
What you can consider
Discuss education and career goals realistically, especially expectations regarding employment after marriage, relocation and financial responsibilities.
Sources
Qur'an 49:13; Qur'an 58:11.