Yes your skill set as a headhunter would translate in to HR, most probably and realistically in either a Recruitment or (internal) Resourcing role of the kind sometimes found in consulting firms. The HR profession is increasingly encouraging specialisation, so position yourself as a Recruitment/Resourcing specialist. Should you be applying for roles now ? There's nothing to stop you, of course, but you don't need me to tell you how difficult the market is. The current edition of Personnel Today, for example, reports that the overall number of advertised recruitment posts over the past 12 months is down 63.3%. I think it will be 6 months before we see sustained improvement.
In the meantime, it is a buyers market and they can afford to be extra choosy. So by all means apply for jobs, but do take the time to ensure your CV is tip top, that you really understand the business and want to be part of the organisation you are applying to and allow for the fact that the recruitment and selection process will take longer to complete than it has in the past. I wish you well.