I can't see any reason why not, here's the list of prohibited items https://www.amtrak.com/onboard/baggage-policy/baggage-prohibited-items.html . Obviously the container should be well sealed, but if I could take some of my dad's ashes thru TSA on a plane to Hawaii, no problem.
I'm not sure why the TSA would be seen as any sort of authority figure on the transportation of cremains, but if you happen to bring any with you I'd recommend keeping an eye on anyone inspecting your luggage.
TSA Agents Unscrewed Urn, Spilled Deceased Mother's Ashes In Cleveland Man's Suitcase
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