Immortality with the cost of being Sterile? Yes.
Immortality with the cost of being asexual? Tough, but still probably yes.
For some perspective, I'm not asexual already. Point of fact, I consider sex to be one of the greatest experiences life has to offer, but consider what we're multiplying here. If I quantified the amount of sexual pleasure gained with each act (1,000) and then multiplied it by the reasonable maximum number of times I might have it in my life time (1,000), I get a total of 1,000,000. Now, lets assume that I consider... idk, let's take reading, to be a fairly low joy activity, but still positive at 10 points per instance. We count the number of books I'd probably read over a lifetime 500, and multiply to get 5,000 pleasure. Getting laid 5 times would equal all of the books I'd ever read. Here's the trick though. The immortality being offered is basically multiplying all of those activities by infinity if I'm willing to multiply the sexual pleasure gained by 0. Okay, maybe not infinity, we'll assume that in a million years, I'll have blundered into a situation where I am hit by a bus or am too close to a nuclear reactor on boom day, but in that time I'll have the ability to do a huge number of activities. If I used the entire time exclusively for reading (a fairly low joy activity) and could manage 10 books a year for a full million years, then the equation is 10 points x 10 books x 1,000,000 years. Thus, even using my time inefficiently, I'll have gained one hundred million (100,000,000) pleasure by the end with the cost of the one million (1,000,000) from sex I would have gained. Total profit of 99,000,000. An incredibly good trade and that assumes that I don't do anything more personally interesting in that time.
*waves away diminishing returns counter argument hoping no one notices*