I know that you can call the nns minting canister after depositing icp to the nns ledger using motoko, but is there a way to install the cycles wallet wasm to this newly created canister using motoko?
It should be possible! You can store canister wasm as a Blob, and then install it using the ic management canister interface: https://mops.one/ic with install_code or install_chunked_code
See this thread: Install_code() - Easiest way to convert a .wasm module to [Nat8]?