THe Laws of physics says we will never leave here.
I don’t see anything in physics that won’t allow interstellar trips. The time scales are another matter if you’re talking about sending people.
The Variable Specific Impulse Magnetoplasma Rocket (VASIMR) is technically feasible and has worked in small scale testing both here on earth and on the space station. Its believed that an interstellar trip to Alpha Centauri could be made in around 50 years.