Yes of course. There is no RSA specificity; you are just loading binary data.
Sent to the GET request string: yes, you can encode the URL (or encode base64 and then encode the URL) provided it is not too long - some clients and servers have URL length restrictions.
; POST , , , , , , URL-/ base-64-URL.
(multipart/form-data) POST. , , base64, . , , , .