Getting links to a new site without 301 redirect

[rishi02]

I have been writing the blog almost for two years. Now I want to publish a brand new blog with some vast niche (with the present niche in it). For some technical difficulties I am unable to 301 redirect them.

Is there any way to transfer those backlinks to the posts in the new site? I willing be publishing the old posts in more upgraded way in the new site.