Not for having a large site, but for being the target of a DDoS attack. Keep in mind iFastNet and InfinityFree are both shared hosting services; a single server hosts hundreds if not thousands of other websites and customers. So one site being hit by a large enough attack will affect all of the other customers on that server, and can even slow down the rest by clogging up the data center’s network. So hosting companies are typically not eager to host things that have been known to be the target of a DDoS attack, even if you pay them. Example:
Edit:
No, no you can’t. Advertising other companies is not allowed, and I doubt they would be willing to host sites who are the target of attacks either.