No. As long as the H4 was filed before the HR reported your leaving to USCIS.
Remember two things:
1) do not start working before the filing of transfer
2) do not let your new ER ask for H-1 extension in the same petition.
Remember two things:
1) do not start working before the filing of transfer
2) do not let your new ER ask for H-1 extension in the same petition.