Hi suema,
A wooden bedframe should have at least 5 hardwood cross slats and good center support to the floor to provide suitable structural support for a foundation so I don’t think your current setup would be suitable.
There are some guidelines for choosing a steel bedframe in post #10 here and if you wish to use a queen size headboard with a full size bedframe and your headboard is a bolt on style and doesn’t already have holes for a full size bedframe then you will just need a steel modi plate like this or like this.
Phoenix