Botox works on the muscles under the skin and has no affect on facial skin thickness. When wrinkles disappear from the botox effect, it is not because they have been filled in nor peeled off. It is because muscles aren't moving as much to create these lines.
No, BOTOX has absolutely no effect on thickening the skin. For that chemical peeling is helpful. Oddly, ablative laser resurfacing seems to have the opposite effect. However, laser does increase collagen in the upper dermis. The bad news is that laser can cause an atrophy in the more superficial skin which is why sometimes people who have had laser resurfacing look like the aliens have sucked their face off.