You ask whether this is idiomatic and whether it is allowed. These are different questions (and “allowed” may not be the best word here, but I think it is clear what you mean). Also “mich mit Menschen verbinden” is a bit awkward, but I will not try to find a better wording.
Ich kann mich nicht mehr mit Menschen verbinden, bin so einsam.
I think most people would not normally say or write this. However, this can be seen as an “Aufzählung” of the two parts “kann mich nicht mehr mit Menschen verbinden” und “bin so einsam”. I think that this is correct grammar and punctuation. You could replace the comma with “und”. However, this way of analysing the sentence would be an argument against a semicolon.