I'm thinking no, and all the supposed time dilation would just be various forces combining to slow the movement of the particles. If suddenly gravity was 5X normal, how fast do you think you would be able to move? The concept of manipulating or traveling through time presents a physical paradox, no matter how I look at it. Well, unless you add something like new dimensions or some other magic BS with no solid evidence.
But that's just me. I'm not even sure if that's the prevailing theory among physicists, or if it's just the result of uneducated hype or having to simplify it for the less informed masses. Yay for not being able to trust anyone.
High gravity distorts spacetime. This isn't just "forces combining to slow the movement of the particles". The equation that states this are the same equations which state that spacetime is distorted when you move at the speed of light. It's the same effect, same cause basically.
General Relativity states that time and space themselves are distorted by gravity, or super fast travel, it's not just slow particles. Plus, light is distorted by gravitational lensing too, which work by the same spacetime distortion as black holes. Light particles, by definition, and general relativity, never travel slower than the speed of light, no matter what your frame of reference, so they should be immune to "slow particles theory".
We kinda know this because of particle colliders too. Fleeting particles last longer when they're travelling really close to lightspeed, so the sub atomic processes themselves are actually slower because of time dilation too, it's not just motion.
Another proof is to think about redshift of light from someone near a black hole. If time was the same at the black hole as the observer, then you should see light from the black hole as delayed, but still the same color. Like if trucks were coming from 1000 miles away but 1 per hour, they'd still arrive at a rate 1 per hour to the destination, but with delayed arrival per truck because of the long trip. In fact, light emitted from objects near a black hole is heavily redshifted, showing that the rate of emission of light is slower there, it's not just taking longer to get to you. In fact, since it's light, it is by definition taking the same time to get to you regardless of the blackhole, and the redshift shows that it's being generated more slowly.
If the particles of your body actually got slower, this would in fact have consequences such as increasing the viscosity of your blood, which would kill you. This is not something scientists would have missed if the black hole equations suggested this. Sub-zero temperatures are actually caused by particles moving more slowly. There is very little similarity to time dilation here.