Oh there were a good number of romans who had been to india and sri lanka, there were even a good number of roman traders from egypt who sailed as far as malaysia which they called the Golden Chersonese. They didnt really know about china but had some vague ideas that a large empire existed in the east names sinae but iirc they did send a diplomatic mission to it which ended up in vietnam being robbed if I remember right before ending up before the han dynasty with very little tribute and generally being a bit of a dissapointment. There were several other merchants and diplomatic missions over the years but in general it was of minor importance to both empires, far outside their spheres.
I'm usually annoyed as fuck by the idiotic cries of "Wikipedia isn't a source, ha ha ha!" all over the Internet; on the contrary, WP is usually not only an adequate but actually a pretty good first source for ordinary online discussions (and then if you really want to get into details, continue from WP's footnotes).
But in this particular case, with these particular WP articles... Yeah yeah, you were probably kidding. But there are also more serious articles on the subject. Like https://en.wikipedia.org/wiki/Sino-Roman_relations .
