Can I help the impact factor of a journal by citing my own papers? Lets say I have published paper A in a journal.  

I am now ready to submit a new paper, paper B.

Paper A is cited in Paper B.

Since B is related to A, I will probably submit it to the same journal.  Would this help the journal's metrics?

Or, lets say paper A currently has no citations.  Would they be reluctant to accept paper B?

The reason I ask is that it seems like a single person could tackle an area of research that nobody else cares about, submit paper after paper to the same journal, and achieve a paper-to-citation ratio near 1:1 (is that  good?).
Since B is related to A, I will probably submit it to the same journal. Would this help the journal's metrics?

I fail to see the connection. One paper having one more citation is irrelevant to journal metrics (eigenfactor excludes self-citation, while JCR does not, if I'm not mistaken). Also, I'd expect that papers published in a particular journal would include citations to lots of papers on the same journal.

Or, lets say paper A currently has no citations. Would they be reluctant to accept paper B?

Very likely, no. I don't see as costumary for a referee to look at citation record of cited papers. But, if A is not being cited, maybe that's indicative that this research is not suitable to this journal.

... achieve a paper-to-citation ratio near 1:1 (is that good?)

No. Especially if it's a self citation.