I don't think you should ping your blogspot blog to other search engines. Instead I would recommend you to focus on building natural links for your post which will help search engine to index your website fast.
Yes, you can sumbit your blogspot blogs to other search engines. Blogspot or web 2.0 is working as a website that have goal to reach your main website through link wheel. So, if you want traffic from other search engines too, you must sumbit your web 2.0 sites.