Have you installed RStudio in a Linux VM? If so you can ssh into your instance using command sudo gcloud compute ssh <your-instance-name> --zone <your-instance-zone>
and then use wget from inside your instance to download the file:
wget https://www.kaggle.com/c/5174/download/Images_1.zip
wget might get disconnected during the download but you can use options described in above link that will help you make the download successful, like the -t and -c options for trying the download more times or continue getting a partially-downloaded file, respectively.
After the file is downloaded you can use 7ZIP to unzip the file in the directory where it was downloaded to using the command: 7z e Images_1.zip
You can copy the file to a GCP bucket using the command:
gsutil cp Images_1 gs://<your-bucket-name>
If wget and 7zip are not installed in the VM you can install them as per instructions, wget and 7zip, as follows. This examples are for Ubuntu or Debian Linux VMs:
sudo apt-get update
sudo apt-get install wget
sudo apt-get install p7zip-full
Just follow installation instructions.