Can I download data from a web in R, based on the information I provide?

I would like to download data from a website called SNAP Proxy Search (http://ift.tt/2ssQPf3)

To download the data, I need to

1) Provide a list of single nucleotide polymorphisms (SNPs). This can be from a txt file, or manually input in a form on the website;

2) Set "Search Options": e.g. SNP data set, and r2 threshold;

3) Set "Output Options" as download to file

I wonder if it is possible to do this in R (or Python?), by uploading a txt file with a list of SNPs, then set relevant search options and output options, and download it to my desktop with a self-defined filename.

Below is a list of sample SNPs

rs9627183

rs11134178

rs12915721

rs2157697

rs4011946