You can definitely have a baby while you're in vet school, if that's what you want to do. My husband and I are both vet students, and we had a baby between my 1st and 2nd years. I was able to take a year off from classes which was such a blessing, and I do recommend it if your school will allow it. It allowed me to spend that precious first year with my daughter. But many people are well and able to continue schooling, and that's great too. The one thing that is our saving grace, and I am SO thankful for--is the school daycare, that's open pretty much any time we need it. It's very near to campus so I can see my daughter any time of the day, and she loves it. Everyone asks "how do you do it?" And all I can say is this: one day at a time. If you look at your schedule and your classes/labs/tests, you think you will never be able to handle it all--but somehow you get through...and my husband even made it into Phi Zeta! Not to brag (I wish it was me 🙂), but just to say that in actuality, doing both things--going to school while having a child--is not as impossible as it may seem, and in fact is quite attainable. You will find support in SO many places.
The only detrimental thing that you have to be prepared for is "mom-brain"--that happens when you're really tired, getting up at night, nursing, and you find that you FORGET a lot of stuff. It comes back though.
Many many vet schools do not expect you to put off having kids until you're done with school and MOST are willing to make accommodations for you. I too was getting on in years and wanted to have a baby before 30--and it was the best choice I could have made. It's TOTALLY DOABLE!! Vet school does not have to be your life!! You can do two things at once, and we women are GREAT at multitasking! Best of luck to you, and to all the vet moms out there, WELL DONE!!