In short, no. In long.

The han dynasty didn't exist anymore at this date, so I presume you want to say the ethnic han founded countries.

On the date of the collapse, ie 476 CE. China is in the period of "northern and southern dynasties". Where there is a quite problematic intern civil division. Result of the very agitated and chaotic "sixteen kingdoms" where China was in. China was divided into 2 major countries at 476. In the north the northern dynasty of "northern Wei". In the south the "Liu song".

The terrest silk road is in a quite anarchy's state due the fact that northern Wei didn't controls the major city in the Tarim bassin and in the actual Qinghai and various little dynasty was fighting for its control. The northern Wei didn't produce silk too so at the time the only exportable merchandise via terrestrial silk road was majority porcelain and bijoux where the value is quite limited.

On the other hand, the more opulent southern dynasty liu song have the very profitable maritime silk road and was producing silk

However. The wastern Roman empire isn't their biggest client, in fact, India and various middle East empires were the biggest China's good consumers. Sassanid empire was the major importer of Chinese good.

Due to the Sassanid empire control a very big chunk of the middle East, the majority of Chinese product that Roman empire was buying was from the hand of the Sassanid empire.

The trade was quite stable at the time as we even see a increase of the export as we can presumably deduce from the increase of the export taxes. (中華の崩壊と拡大 : 魏晋南北朝. 川本芳昭 Yoshiaki kawamoto isbn-10:4062740599)

And as the east Roman empire was quite at its golden age (it's territory was in expansion, getting into the biggest at 527), and the fact that eastern Roman empire don't get major city sacked like it was the case of Rome keep eastern in a good situation, the collapse of the western didn't affect at all the economy.

More over that, the general situation of southern China economy was going quite well at the moment of the collapse . The repercussions took some time to arrive , however, at the time, the southern Liu song was substitute by the southern Qi (479502). And major economic reforms that southern qi took pushed the south into a golden age not so long after it established (482493).

All these factors completely nullified the possible economic repercussions that can have due to the collapse.