If you design your own Space Invader like sprites, then heck yeah! But using the actual space invader sprites from the game would be a bad idea. Be creative and make you're own sprite in photoshop or even paint. Just zoom up close to the image and color each pixel individually to make your sprites. You can even have them animated if you like and save them as a gif. Here is one I created of Link from "The Legend of Zelda":



And here is an article about sprite art I read the other day. Note that this website also uses space invaders in their logo, so it might not be as original as you hoped. But all the more reason to create your own sprite
Good Luck!!

P.S. if you use photoshop to create them, make sure to use the pencil tool to draw the pixels, and the pencil eraser to erase!