If you are terminated or laid off from the job you have right now, that will be the first situation/variable/question what happens that will determine the answer to your question.
If you quit the job because you don't have the time to work for them anymore because you are too busy growing your new business, the answer is absolutely no, you will not be able to receive unemployment insurance. If you quit the job because they're threatening to fire you, or because they have told you they're going to fire you, or you saw your job posting on the board, if you quit the job for any reason at this point, you will very likely not be able to draw benefits. So the first variable is what they actually do concerning your employment there.
If you file for unemployment insurance after you are let go, however they state it, and they respond that you were not devoting your whole interest to their job and were not performing well because you were too involved in your part time business, that doesn't look good for your side, either.That could be misconduct, and if they had a valid misconduct reason to terminate you, that likely means no unemployment approval.
Remember, in order to qualify for unemployment insurance, you must be out of work through no fault of your own, and able and available for work (and that work must be equivalent, and to the full extent that your previous job was.) You may be required to make job searches and participate in job seeking activities as dictated by the system. If you are willing to do all that, and you would do the job searches in good faith and would accept other suitable work if it were offered to you, you may be able to be approved, and you may be able to stay eligible, even though you are working at developing your part time job, particularly if it's a new business, self employment of some type.
The income you make on the part time job is not going to be a factor. Nothing about unemployment eligibility is going to be about your income, unless you are working at a part time wage paying tax collecting job, (for example) you're laid off from your regular job, but work a part time cashier job at the box store to suppliment your regular work income. Then if you are making more than your weekly unemployment benefit would be in gross wages, you would be considered fully employed, and you would not be able to draw benefits. However, availability for other full time work is considered
It just all depends on the reason they let you go, if they do, and the nature of your part time job or business.