Large payments can be split into multiple smaller payments, but sending 35 BTC would be impossible unless you had a direct channel with the recipient.
for exactly that reason (multi path payments), it could be done theoretically. obviously it's stretching credibility that one lightning node could convince another node to open a single channel with 35 BTC in it, and even less likely that it would be available as liquidity in one direction only (i.e. an unbalanced channel to the tune of 35BTC!!)
but the larger lightning nodes could have > 35 BTC incoming liquidity no problem, aggregated over many channels. The sender would need the corresponding amount of outgoing liquidity also... it is a bit of a stretch really.
but yes, the important point seems to be that OP is being targeted by a scammer.