No, you can only receive the government bonus on either a Help to Buy ISA or a Lifetime ISA. You cannot claim the bonus for both accounts. You can transfer your Help to Buy ISA into a Lifetime ISA (these funds will count towards your Lifetime ISA allowance) and these will be eligible for the government bonus.
Remember, if you transfer funds from other types of ISA into your Lifetime ISA, the start date of your account is the day you first paid into your Lifetime ISA, not the date you opened your previous ISA.
If you transfer out of your Lifetime ISA into a different type of ISA (Cash ISA, Stocks & Shares ISA or an Innovative Finance ISA) the transfer will be subject to the 25% government withdrawal charge and this means you’ll get back less than you paid in.