The trial of the case was postponed because of the epidemic. Is it illegal for lawyers to ask for an increase in legal fees?

This is not illegal.

This is subject to the contract signed by both parties at that time. If not, it is not illegal to talk about increasing fees.

The lawyer's fee shall be subject to the agency contract signed by both parties, and the lawyer's fee shall not exceed the charging standard published by the local judicial department.

For criminal cases with large time or geographical span, belonging to group crimes and other major and complicated cases, the charging standard can be determined through consultation within the range of 1.5 times of the prescribed standard. Criminal incidental civil affairs, in which the civil part is charged by half according to the standard of first instance.