Nobody will tell you that it's impossible to get a job from UDC and similar schools. Almost any law school can provide a list of distinguished alumni who have had immense career success. But it's a game of risk and playing the odds. What are the chances you will find the result you seek?
Law school transparency is a helpful website that attempts to quantify these odds. The results for UDC are not encouraging:
https://www.lstreports.com/schools/udc/
Based on class of 2019 graduates, it appears that less than half passed the bar exam and only around 30% found jobs as lawyers in their first year. The full sticker price of UDC is about $150,000, which would entail over $200,000 in debt after living expenses are taken into account if you attend full time and borrow the full cost of attendance. Borrowing $200,000 for a 30% chance of becoming a lawyer at any salary, let alone one sufficient to pay back those loans, is a very risky proposition. Perhaps the numbers improve somewhat if you follow grads that take a few years to get started practicing, but there's little question that most graduates have a tough time.
Since you are looking to attend part time and may very well pay nowhere near the sticker price, your risk profile may be slightly different. But the odds are still that you would spend four years of your life without much to show.
The question becomes: why this school specifically? There are other schools in the DC area that offer night programs. If you are looking for an HCBU feel, arguably the best HBCU in the country is in town. Why write those schools off? While you are likely stuck with your undergraduate GPA, LSAT scores can almost always be improved with proper prep. Getting a better LSAT score is almost always the easier path than doing it through a lower-tier school.