No it doesn't.
That's the whole point in referencing the other usage of the word "oiketerion".
2 For in this we groan, earnestly desiring to be clothed with our [b]habitation which is from heaven,
The oiketerion is FROM Heaven. It is NOT Heaven.
If the Jude wanted to say "Heaven" he would have just said "Heaven"
It simply means a place to inhabit. Josephus used the word in Against Apion, Book 1, 20.7
"He then marched away to Borsippus, to besiege Nabonnedus; but as Nabonnedus did not sustain the siege, but delivered himself into his hands, he was at first kindly used by Cyrus, who gave him Carmania, as a place for him to inhabit in, but sent him out of Babylonia. Accordingly Nabonnedus spent the rest of his time in that country, and there died."