High quality Roman glass ware has been found in China. The two empires may not have had much direct contact but they knew of each other
Contact is very possible. Maybe even by ship—facts:
1. Roman ships had eyes painted on the bow “so they could see where they were going”—Chinese Junks had eyes on them too.
2. The Chinese cultivated Oranges in south China Canton. Roman city of Pompeii had Oranges growing in the estates of the rich.
3. A canal was dug from the Nile to the Red Sea so ships could pass and sail to India and maybe beyond.
4. Chinese invented Crossbows—at some point Romans had them as well (built large ones too).
5. The Chinese knew of the Roman Empire—the Romans knew of the “land of the Chin” (Chin Dynasty) they called China.