I would phrase it, "Please inform me if there are any current job offers," as it makes it less specific to you. If you mean it to be an enquiry regarding a specific offer to you then, "If you have any jobs/opportunities/openings to offer me then I would be happy to receive them." I know this isn't exactly what you were asking, but I hope it helps anyway.

In the hiring process, "offer" usually means the formal employment offer a company makes to an employment candidate. So I would say it is not a good idea to use this word to mean something different. I think what you mean by "If you have an offer send to me" is: If you have an opening (in the areas I'm interested in), please let me know [please send me more details about it]). "opening" is the common term in the US for an open position that is waiting to be filled. The key terms are (based on the US practices of hiring professionals): an opening (open position) to be filled, job inquiry and application, (face-to-face) interview, employment offer (job offer) in the form of an offer letter, and acceptance or rejection of the offer.

I think so