In at least two senses, maybe:
- If you do well at a college with a top law school matriculation record, then you will *know* that you are in a comparable position to others who have gone on to highly-regarded law schools.
- The college experience itself can enhance your skills and train your thinking over several years so that, with the better college, you will be better prepared to excel on the LSAT (as well as in law school).
With respect to another aspect with relevance to your intended career, consider further developing your writing at a college that emphasizes this skill. In this area, Hamilton has been recognized in U.S. News as one of the two top LACs in the country.
https://www.usnews.com/best-colleges/rankings/writing-programs