Not really, at least not because of the data access. Drives mainly die because of their age.
SSDs will basically not degrade by reading them, they only degrade when you write to them.
HDDs can get degraded because of data access, but most HDD deaths are caused by bearing failures or head crashes, which are more of a matter of power-on hours.

What all of this means is that if you already kept your device on 24/7, your drives aren't gonna degrade noticeably faster by having your torrent client accessing them all the time.

Drive failures have almost nothing to do with access if they are mechanical. Most failures are from bearing or solder interconnect failures over time.

Also, most seeding is in smaller chunks that are read and cached if popular... Meaning less drive hits than 1-1 read vs upload.

You will almost always have drives fail from other aspects like heat or power or old age before wear from seeding would ever be enough to matter.

I have drives in the excess of 10+ years, with several seeds that have been active for many years of those, that are still running just fine.