No, it is not currently possible for a trans man to have a male reproductive system. We cannot produce sperm. We cannot *ejaculate. Our testicles (if we have them) are silicone. At the moment the surgical options are something of a trade off between size and the ability to get hard without mechanised assistance, seminal vesicles, vas deferens, etc. aren’t even an afterthought. Reproduction is still a fairly new consideration for trans people. Until recently it was assumed that sterility was desired by everyone involved. If you’re interested in having biological children I suggest finding a doctor who can help you go through your options.
*At least, we cannot ejaculate in the same way cis men can. I know of a few guys who can in, uh, other ways.