Yes, there is a problem. Do not do this.
How you could have determined this for yourself
Try to use the code that you've proposed, you'll see:
$ cargo build
error: failed to parse manifest at `.../Cargo.toml`
Caused by:
could not parse input as TOML
Caused by:
expected an equals, found a period at line 9
You could have also attempted to create a package with the same name. You would have then seen:
$ cargo new 'gccjit.rs.git'
error: Invalid character `.` in crate name: `gccjit.rs.git`
use --name to override crate name
Who controls crate names
You don't get to control the name of an imported crate that way; the crate determines it and it's already picked one:
[package]
name = "gccjit"
If you want to rename an existing package on import, you have to use the package
key to match the real name:
some_name = { package = "gccjit", git = "https://github.com/swgillespie/gccjit.rs.git" }
See How to idiomatically alias a crate in Rust 2018? for more.
To use a period in the name, you can seemingly use a string key (although I think this is a bug):
"gcc.jit" = { package = "gccjit", git = "https://github.com/swgillespie/gccjit.rs.git" }
However, a package name has to be a valid Rust identifier, which periods are not. If you do this, there's no way to use the package.
It's redundant anyway
More opinion based, such a name is completely pointless. You don't need to say "rs" or "rust" in the name because of course it's Rust code. If it wasn't, you couldn't use it as a dependency in the first place.
We don't call our packages "computer-source-code-awesome-tool" for the same reason — that much is implied.
Package names are different from source control
Cargo and Rust don't care what the name of your source control repository is. It's separate from the package name. While it's better to have them be somewhat similar, there's no real reason they have to be whatsoever related.
Package names are different from library names
This is a feature with a very small number of uses, but the name of your package (a.k.a. name of the crate on Crates.io) can be different from the name of your library (what is imported into the code).
Piston is the biggest "offender" of this that I know of:
[package]
name = "piston2d-graphics"
version = "0.30.0"
[lib]
name = "graphics"
Please do not use this as it's simply maddening to attempt to debug.