Yes, there are ways you can get more shares, one of them is to participate in contests that offer @steembasicincome shares as the reward. @sneakyninja runs a contest where people get shares in reward. I have recently started a contest for a logo design, where you can win 3 @steembasicincome shares in reward. We may increase them if more people turn up.

Here is the link to my contest post: @induswhale Logo Design Contest